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What is the Least Common Multiple of 3957 and 3977?

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 3957 and 3977 is 15736989.

LCM(3957,3977) = 15736989

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Least Common Multiple of 3957 and 3977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3957 and 3977, than apply into the LCM equation.

GCF(3957,3977) = 1
LCM(3957,3977) = ( 3957 × 3977) / 1
LCM(3957,3977) = 15736989 / 1
LCM(3957,3977) = 15736989

Least Common Multiple (LCM) of 3957 and 3977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3957 and 3977. First we will calculate the prime factors of 3957 and 3977.

Prime Factorization of 3957

Prime factors of 3957 are 3, 1319. Prime factorization of 3957 in exponential form is:

3957 = 31 × 13191

Prime Factorization of 3977

Prime factors of 3977 are 41, 97. Prime factorization of 3977 in exponential form is:

3977 = 411 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 3957 and 3977.

LCM(3957,3977) = 31 × 13191 × 411 × 971
LCM(3957,3977) = 15736989