Least Common Multiple of 44 and 57

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 57 the smallest integer that is 2508 that is divisible by both numbers.

Least Common Multiple (LCM) of 44 and 57 is 2508.

LCM(44,57) = 2508

LCM of 44 and 57

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

LCM of:
and

Least Common Multiple of 44 and 57

LCM of 44 and 57 is 2508

Least common multiple can be found by multiplying the highest exponent prime factors of 44 and 57. First we will calculate the prime factors of 44 and 57.

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 57


3 57
19 19
1

Prime factors of 57 are 3,19. Prime factorization of 57 in exponential form is:

57 = 31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 44 and 57.

LCM(44,57) = 22×31×111×191
LCM(44,57) = 2508

Factors of 44

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

1, 2, 4, 11, 22, 44

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Least Common Multiple of 44 and 57 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 57, than apply into the LCM equation.

GCF(44,57) = 1
LCM(44,57) = ( 44 × 57) / 1
LCM(44,57) = 2508 / 1
LCM(44,57) = 2508

Properties of LCM 44 and 57

(i) The LCM of 57 and 44 is associative

LCM of 44 and 57 = LCM of 57 and 44

Related Least Common Multiples of 44

Related Least Common Multiples of 57

Frequently Asked Questions on LCM of 44 and 57

1. What is the LCM of 44 and 57?

Answer: LCM of 44 and 57 is 2508.

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 57?

Answer: Factors of 57 are 1, 3, 19, 57. There are 4 integers that are factors of 57. The greatest factor of 57 is 57.

4. How to Find the LCM of 44 and 57?

Answer:

Least Common Multiple of 44 and 57 = 2508

Step 1: Find the prime factorization of 44

44 = 2 x 2 x 11

Step 2: Find the prime factorization of 57

57 = 3 x 19

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

LCM = 2508 = 2 x 2 x 3 x 11 x 19

Step 4: Therefore, the least common multiple of 44 and 57 is 2508.