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What is the Least Common Multiple of 2957 and 2976?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 2957 and 2976 is 8800032.

LCM(2957,2976) = 8800032

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Least Common Multiple of 2957 and 2976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2957 and 2976, than apply into the LCM equation.

GCF(2957,2976) = 1
LCM(2957,2976) = ( 2957 × 2976) / 1
LCM(2957,2976) = 8800032 / 1
LCM(2957,2976) = 8800032

Least Common Multiple (LCM) of 2957 and 2976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2957 and 2976. First we will calculate the prime factors of 2957 and 2976.

Prime Factorization of 2957

Prime factors of 2957 are 2957. Prime factorization of 2957 in exponential form is:

2957 = 29571

Prime Factorization of 2976

Prime factors of 2976 are 2, 3, 31. Prime factorization of 2976 in exponential form is:

2976 = 25 × 31 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 2957 and 2976.

LCM(2957,2976) = 29571 × 25 × 31 × 311
LCM(2957,2976) = 8800032