Least Common Multiple of 2952 and 2957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2952 and 2957 the smallest integer that is 8729064 that is divisible by both numbers.

Least Common Multiple (LCM) of 2952 and 2957 is 8729064.

LCM(2952,2957) = 8729064

LCM of 2952 and 2957

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

LCM of:
and

Least Common Multiple of 2952 and 2957

LCM of 2952 and 2957 is 8729064

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2957. First we will calculate the prime factors of 2952 and 2957.

Prime Factorization of 2952


2 2952
2 1476
2 738
3 369
3 123
41 41
1

Prime factors of 2952 are 2, 3,41. Prime factorization of 2952 in exponential form is:

2952 = 23×32×411

Prime Factorization of 2957


2957 2957
1

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 29571

Now multiplying the highest exponent prime factors to calculate the LCM of 2952 and 2957.

LCM(2952,2957) = 23×32×411×29571
LCM(2952,2957) = 8729064

Factors of 2952

List of positive integer factors of 2952 that divides 2952 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952

Factors of 2957

List of positive integer factors of 2957 that divides 2957 without a remainder.

1, 2957

Least Common Multiple of 2952 and 2957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2952 and 2957, than apply into the LCM equation.

GCF(2952,2957) = 1
LCM(2952,2957) = ( 2952 × 2957) / 1
LCM(2952,2957) = 8729064 / 1
LCM(2952,2957) = 8729064

Properties of LCM 2952 and 2957

(i) The LCM of 2957 and 2952 is associative

LCM of 2952 and 2957 = LCM of 2957 and 2952

Related Least Common Multiples of 2952

Related Least Common Multiples of 2957

Frequently Asked Questions on LCM of 2952 and 2957

1. What is the LCM of 2952 and 2957?

Answer: LCM of 2952 and 2957 is 8729064.

2. What are the Factors of 2952?

Answer: Factors of 2952 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 41, 72, 82, 123, 164, 246, 328, 369, 492, 738, 984, 1476, 2952. There are 24 integers that are factors of 2952. The greatest factor of 2952 is 2952.

3. What are the Factors of 2957?

Answer: Factors of 2957 are 1, 2957. There are 2 integers that are factors of 2957. The greatest factor of 2957 is 2957.

4. How to Find the LCM of 2952 and 2957?

Answer:

Least Common Multiple of 2952 and 2957 = 8729064

Step 1: Find the prime factorization of 2952

2952 = 2 x 2 x 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 2957

2957 = 2957

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

LCM = 8729064 = 2 x 2 x 2 x 3 x 3 x 41 x 2957

Step 4: Therefore, the least common multiple of 2952 and 2957 is 8729064.