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What is the Least Common Multiple of 76976 and 76985?

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 76976 and 76985 is 5925997360.

LCM(76976,76985) = 5925997360

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Least Common Multiple of 76976 and 76985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76976 and 76985, than apply into the LCM equation.

GCF(76976,76985) = 1
LCM(76976,76985) = ( 76976 × 76985) / 1
LCM(76976,76985) = 5925997360 / 1
LCM(76976,76985) = 5925997360

Least Common Multiple (LCM) of 76976 and 76985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76976 and 76985. First we will calculate the prime factors of 76976 and 76985.

Prime Factorization of 76976

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

76976 = 24 × 171 × 2831

Prime Factorization of 76985

Prime factors of 76985 are 5, 89, 173. Prime factorization of 76985 in exponential form is:

76985 = 51 × 891 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 76976 and 76985.

LCM(76976,76985) = 24 × 171 × 2831 × 51 × 891 × 1731
LCM(76976,76985) = 5925997360