Least Common Multiple of 956 and 957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 956 and 957 the smallest integer that is 914892 that is divisible by both numbers.

Least Common Multiple (LCM) of 956 and 957 is 914892.

LCM(956,957) = 914892

LCM of 956 and 957

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

LCM of:
and

Least Common Multiple of 956 and 957

LCM of 956 and 957 is 914892

Least common multiple can be found by multiplying the highest exponent prime factors of 956 and 957. First we will calculate the prime factors of 956 and 957.

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

Prime Factorization of 957


3 957
11 319
29 29
1

Prime factors of 957 are 3, 11,29. Prime factorization of 957 in exponential form is:

957 = 31×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 956 and 957.

LCM(956,957) = 22×31×111×291×2391
LCM(956,957) = 914892

Factors of 956

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

1, 2, 4, 239, 478, 956

Factors of 957

List of positive integer factors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Least Common Multiple of 956 and 957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 956 and 957, than apply into the LCM equation.

GCF(956,957) = 1
LCM(956,957) = ( 956 × 957) / 1
LCM(956,957) = 914892 / 1
LCM(956,957) = 914892

Properties of LCM 956 and 957

(i) The LCM of 957 and 956 is associative

LCM of 956 and 957 = LCM of 957 and 956

Related Least Common Multiples of 956

Related Least Common Multiples of 957

Frequently Asked Questions on LCM of 956 and 957

1. What is the LCM of 956 and 957?

Answer: LCM of 956 and 957 is 914892.

2. 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.

3. What are the Factors of 957?

Answer: Factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957. There are 8 integers that are factors of 957. The greatest factor of 957 is 957.

4. How to Find the LCM of 956 and 957?

Answer:

Least Common Multiple of 956 and 957 = 914892

Step 1: Find the prime factorization of 956

956 = 2 x 2 x 239

Step 2: Find the prime factorization of 957

957 = 3 x 11 x 29

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

LCM = 914892 = 2 x 2 x 3 x 11 x 29 x 239

Step 4: Therefore, the least common multiple of 956 and 957 is 914892.