4 Per 9 2 Per 9
LCM of 4 and 9
LCM of 4 and 9 is the smallest number among all common multiples of 4 and 9. The first few multiples of 4 and 9 are (4, 8, 12, 16, 20, 24, 28, . . . ) and (9, 18, 27, 36, . . . ) respectively. There are 3 commonly used methods to find LCM of 4 and 9 – by prime factorization, by listing multiples, and by division method.
1.  LCM of 4 and 9 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is the LCM of 4 and 9?
Answer:
LCM of 4 and 9 is 36.
Explanation:
The LCM of two nonzero integers, x(4) and y(9), is the smallest positive integer m(36) that is divisible by both x(4) and y(9) without any remainder.
Methods to Find LCM of 4 and 9
The methods to find the LCM of 4 and 9 are explained below.
 By Listing Multiples
 By Prime Factorization Method
 By Division Method
LCM of 4 and 9 by Listing Multiples
To calculate the LCM of 4 and 9 by listing out the common multiples, we can follow the given below steps:

Step 1:
List a few multiples of 4 (4, 8, 12, 16, 20, 24, 28, . . . ) and 9 (9, 18, 27, 36, . . . . ) 
Step 2:
The common multiples from the multiples of 4 and 9 are 36, 72, . . . 
Step 3:
The smallest common multiple of 4 and 9 is 36.
∴ The least common multiple of 4 and 9 = 36.
LCM of 4 and 9 by Prime Factorization
Prime factorization of 4 and 9 is (2 × 2) = 2^{2}
and (3 × 3) = 3^{2}
respectively. LCM of 4 and 9 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2^{2}
× 3^{2}
= 36.
Hence, the LCM of 4 and 9 by prime factorization is 36.
LCM of 4 and 9 by Division Method
To calculate the LCM of 4 and 9 by the division method, we will divide the numbers(4, 9) by their prime factors (preferably common). The product of these divisors gives the LCM of 4 and 9.

Step 1:
Find the smallest prime number that is a factor of at least one of the numbers, 4 and 9. Write this prime number(2) on the left of the given numbers(4 and 9), separated as per the ladder arrangement. 
Step 2:
If any of the given numbers (4, 9) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number. 
Step 3:
Continue the steps until only 1s are left in the last row.
The LCM of 4 and 9 is the product of all prime numbers on the left, i.e. LCM(4, 9) by division method = 2 × 2 × 3 × 3 = 36.
☛ Also Check:
 LCM of 21 and 35 – 105
 LCM of 63 and 81 – 567
 LCM of 24 and 27 – 216
 LCM of 2, 4 and 7 – 28
 LCM of 12, 15 and 45 – 180
 LCM of 39 and 65 – 195
 LCM of 30, 36 and 40 – 360
FAQs on LCM of 4 and 9
What is the LCM of 4 and 9?
The
LCM of 4 and 9 is 36
. To find the least common multiple (LCM) of 4 and 9, we need to find the multiples of 4 and 9 (multiples of 4 = 4, 8, 12, 16 . . . . 36; multiples of 9 = 9, 18, 27, 36) and choose the smallest multiple that is exactly divisible by 4 and 9, i.e., 36.
How to Find the LCM of 4 and 9 by Prime Factorization?
To find the LCM of 4 and 9 using prime factorization, we will find the prime factors, (4 = 2 × 2) and (9 = 3 × 3). LCM of 4 and 9 is the product of prime factors raised to their respective highest exponent among the numbers 4 and 9.
⇒ LCM of 4, 9 = 2^{2}
× 3^{2}
= 36.
What is the Relation Between GCF and LCM of 4, 9?
The following equation can be used to express the relation between GCF and LCM of 4 and 9, i.e. GCF × LCM = 4 × 9.
If the LCM of 9 and 4 is 36, Find its GCF.
LCM(9, 4) × GCF(9, 4) = 9 × 4
Since the LCM of 9 and 4 = 36
⇒ 36 × GCF(9, 4) = 36
Therefore, the greatest common factor (GCF) = 36/36 = 1.
What is the Least Perfect Square Divisible by 4 and 9?
The least number divisible by 4 and 9 = LCM(4, 9)
LCM of 4 and 9 =
2 × 2
×
3 × 3
[No incomplete pair]
⇒ Least perfect square divisible by each 4 and 9 = 36 [Square root of 36 = √36 = ±6]
Therefore, 36 is the required number.
4 Per 9 2 Per 9
Sumber: https://www.cuemath.com/numbers/lcmof4and9/