Least Common Multiple of 952 and 956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 952 and 956 the smallest integer that is 227528 that is divisible by both numbers.

Least Common Multiple (LCM) of 952 and 956 is 227528.

LCM(952,956) = 227528

LCM of 952 and 956

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

LCM of:
and

Least Common Multiple of 952 and 956

LCM of 952 and 956 is 227528

Least common multiple can be found by multiplying the highest exponent prime factors of 952 and 956. First we will calculate the prime factors of 952 and 956.

Prime Factorization of 952


2 952
2 476
2 238
7 119
17 17
1

Prime factors of 952 are 2, 7,17. Prime factorization of 952 in exponential form is:

952 = 23×71×171

Prime Factorization of 956


2 956
2 478
239 239
1

Prime factors of 956 are 2,239. Prime factorization of 956 in exponential form is:

956 = 22×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 952 and 956.

LCM(952,956) = 23×71×171×2391
LCM(952,956) = 227528

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Least Common Multiple of 952 and 956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 952 and 956, than apply into the LCM equation.

GCF(952,956) = 4
LCM(952,956) = ( 952 × 956) / 4
LCM(952,956) = 910112 / 4
LCM(952,956) = 227528

Properties of LCM 952 and 956

(i) The LCM of 956 and 952 is associative

LCM of 952 and 956 = LCM of 956 and 952

Related Least Common Multiples of 952

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 952 and 956

1. What is the LCM of 952 and 956?

Answer: LCM of 952 and 956 is 227528.

2. What are the Factors of 952?

Answer: Factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952. There are 16 integers that are factors of 952. The greatest factor of 952 is 952.

3. What are the Factors of 956?

Answer: Factors of 956 are 1, 2, 4, 239, 478, 956. There are 6 integers that are factors of 956. The greatest factor of 956 is 956.

4. How to Find the LCM of 952 and 956?

Answer:

Least Common Multiple of 952 and 956 = 227528

Step 1: Find the prime factorization of 952

952 = 2 x 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 956

956 = 2 x 2 x 239

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

LCM = 227528 = 2 x 2 x 2 x 7 x 17 x 239

Step 4: Therefore, the least common multiple of 952 and 956 is 227528.