Least Common Multiple of 44 and 54

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 44 and 54 the smallest integer that is 1188 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 54 is 1188.

LCM(44,54) = 1188

LCM of 44 and 54

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 44 and 54

LCM of 44 and 54 is 1188

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 54. First we will calculate the prime factors of 44 and 54.

Prime Factorization of 44


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Prime Factorization of 54


2 54
3 27
3 9
3 3
1

Prime factors of 54 are 2,3. Prime factorization of 54 in exponential form is:

54 = 21×33

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 54.

LCM(44,54) = 22×33×111
LCM(44,54) = 1188

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Least Common Multiple of 44 and 54 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44 and 54, than apply into the LCM equation.

GCF(44,54) = 2
LCM(44,54) = ( 44 × 54) / 2
LCM(44,54) = 2376 / 2
LCM(44,54) = 1188

Properties of LCM 44 and 54

(i) The LCM of 54 and 44 is associative

LCM of 44 and 54 = LCM of 54 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 54

Frequently Asked Questions on LCM of 44 and 54

1. What is the LCM of 44 and 54?

Answer: LCM of 44 and 54 is 1188.

2. What are the Factors of 44?

Answer: Factors of 44 are 1, 2, 4, 11, 22, 44. There are 6 integers that are factors of 44. The greatest factor of 44 is 44.

3. What are the Factors of 54?

Answer: Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. There are 8 integers that are factors of 54. The greatest factor of 54 is 54.

4. How to Find the LCM of 44 and 54?

Answer:

Least Common Multiple of 44 and 54 = 1188

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 54

54 = 2 x 3 x 3 x 3

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 1188 = 2 x 2 x 3 x 3 x 3 x 11

Step 4: Therefore, the least common multiple of 44 and 54 is 1188.