Least Common Multiple of 951 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 951 and 956 the smallest integer that is 909156 that is divisible by both numbers.

Least Common Multiple (LCM) of 951 and 956 is 909156.

LCM(951,956) = 909156

LCM of 951 and 956

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

LCM of:
and

Least Common Multiple of 951 and 956

LCM of 951 and 956 is 909156

Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 956. First we will calculate the prime factors of 951 and 956.

Prime Factorization of 951


3 951
317 317
1

Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:

951 = 31×3171

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 951 and 956.

LCM(951,956) = 22×31×2391×3171
LCM(951,956) = 909156

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1, 3, 317, 951

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 951 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 951 and 956, than apply into the LCM equation.

GCF(951,956) = 1
LCM(951,956) = ( 951 × 956) / 1
LCM(951,956) = 909156 / 1
LCM(951,956) = 909156

Properties of LCM 951 and 956

(i) The LCM of 956 and 951 is associative

LCM of 951 and 956 = LCM of 956 and 951

Related Least Common Multiples of 951

Related Least Common Multiples of 956

Frequently Asked Questions on LCM of 951 and 956

1. What is the LCM of 951 and 956?

Answer: LCM of 951 and 956 is 909156.

2. What are the Factors of 951?

Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.

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 951 and 956?

Answer:

Least Common Multiple of 951 and 956 = 909156

Step 1: Find the prime factorization of 951

951 = 3 x 317

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 = 909156 = 2 x 2 x 3 x 239 x 317

Step 4: Therefore, the least common multiple of 951 and 956 is 909156.