Least Common Multiple of 951 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 951 and 957 the smallest integer that is 303369 that is divisible by both numbers.

Least Common Multiple (LCM) of 951 and 957 is 303369.

LCM(951,957) = 303369

LCM of 951 and 957

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

LCM of:
and

Least Common Multiple of 951 and 957

LCM of 951 and 957 is 303369

Least common multiple can be found by multiplying the highest exponent prime factors of 951 and 957. First we will calculate the prime factors of 951 and 957.

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 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 951 and 957.

LCM(951,957) = 31×111×291×3171
LCM(951,957) = 303369

Factors of 951

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

1, 3, 317, 951

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 951 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 951 and 957, than apply into the LCM equation.

GCF(951,957) = 3
LCM(951,957) = ( 951 × 957) / 3
LCM(951,957) = 910107 / 3
LCM(951,957) = 303369

Properties of LCM 951 and 957

(i) The LCM of 957 and 951 is associative

LCM of 951 and 957 = LCM of 957 and 951

Related Least Common Multiples of 951

Related Least Common Multiples of 957

Frequently Asked Questions on LCM of 951 and 957

1. What is the LCM of 951 and 957?

Answer: LCM of 951 and 957 is 303369.

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 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 951 and 957?

Answer:

Least Common Multiple of 951 and 957 = 303369

Step 1: Find the prime factorization of 951

951 = 3 x 317

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 = 303369 = 3 x 11 x 29 x 317

Step 4: Therefore, the least common multiple of 951 and 957 is 303369.