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What is the Least Common Multiple of 7957 and 7977?

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 7957 and 7977 is 63472989.

LCM(7957,7977) = 63472989

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Least Common Multiple of 7957 and 7977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7957 and 7977, than apply into the LCM equation.

GCF(7957,7977) = 1
LCM(7957,7977) = ( 7957 × 7977) / 1
LCM(7957,7977) = 63472989 / 1
LCM(7957,7977) = 63472989

Least Common Multiple (LCM) of 7957 and 7977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7957 and 7977. First we will calculate the prime factors of 7957 and 7977.

Prime Factorization of 7957

Prime factors of 7957 are 73, 109. Prime factorization of 7957 in exponential form is:

7957 = 731 × 1091

Prime Factorization of 7977

Prime factors of 7977 are 3, 2659. Prime factorization of 7977 in exponential form is:

7977 = 31 × 26591

Now multiplying the highest exponent prime factors to calculate the LCM of 7957 and 7977.

LCM(7957,7977) = 731 × 1091 × 31 × 26591
LCM(7957,7977) = 63472989