Least Common Multiple of 2952 and 2956

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 2956 the smallest integer that is 2181528 that is divisible by both numbers.

Least Common Multiple (LCM) of 2952 and 2956 is 2181528.

LCM(2952,2956) = 2181528

LCM of 2952 and 2956

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

LCM of:
and

Least Common Multiple of 2952 and 2956

LCM of 2952 and 2956 is 2181528

Least common multiple can be found by multiplying the highest exponent prime factors of 2952 and 2956. First we will calculate the prime factors of 2952 and 2956.

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 2956


2 2956
2 1478
739 739
1

Prime factors of 2956 are 2,739. Prime factorization of 2956 in exponential form is:

2956 = 22×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2952 and 2956.

LCM(2952,2956) = 23×32×411×7391
LCM(2952,2956) = 2181528

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 2956

List of positive integer factors of 2956 that divides 2956 without a remainder.

1, 2, 4, 739, 1478, 2956

Least Common Multiple of 2952 and 2956 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 2956, than apply into the LCM equation.

GCF(2952,2956) = 4
LCM(2952,2956) = ( 2952 × 2956) / 4
LCM(2952,2956) = 8726112 / 4
LCM(2952,2956) = 2181528

Properties of LCM 2952 and 2956

(i) The LCM of 2956 and 2952 is associative

LCM of 2952 and 2956 = LCM of 2956 and 2952

Related Least Common Multiples of 2952

Related Least Common Multiples of 2956

Frequently Asked Questions on LCM of 2952 and 2956

1. What is the LCM of 2952 and 2956?

Answer: LCM of 2952 and 2956 is 2181528.

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 2956?

Answer: Factors of 2956 are 1, 2, 4, 739, 1478, 2956. There are 6 integers that are factors of 2956. The greatest factor of 2956 is 2956.

4. How to Find the LCM of 2952 and 2956?

Answer:

Least Common Multiple of 2952 and 2956 = 2181528

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 2956

2956 = 2 x 2 x 739

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

LCM = 2181528 = 2 x 2 x 2 x 3 x 3 x 41 x 739

Step 4: Therefore, the least common multiple of 2952 and 2956 is 2181528.