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What is the Least Common Multiple of 76971 and 76976?

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 76971 and 76976 is 5924919696.

LCM(76971,76976) = 5924919696

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Least Common Multiple of 76971 and 76976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76971 and 76976, than apply into the LCM equation.

GCF(76971,76976) = 1
LCM(76971,76976) = ( 76971 × 76976) / 1
LCM(76971,76976) = 5924919696 / 1
LCM(76971,76976) = 5924919696

Least Common Multiple (LCM) of 76971 and 76976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76971 and 76976. First we will calculate the prime factors of 76971 and 76976.

Prime Factorization of 76971

Prime factors of 76971 are 3, 25657. Prime factorization of 76971 in exponential form is:

76971 = 31 × 256571

Prime Factorization of 76976

Prime factors of 76976 are 2, 17, 283. Prime factorization of 76976 in exponential form is:

76976 = 24 × 171 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 76971 and 76976.

LCM(76971,76976) = 31 × 256571 × 24 × 171 × 2831
LCM(76971,76976) = 5924919696