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What is the Least Common Multiple of 76787 and 76807?

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 76787 and 76807 is 5897779109.

LCM(76787,76807) = 5897779109

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Least Common Multiple of 76787 and 76807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76787 and 76807, than apply into the LCM equation.

GCF(76787,76807) = 1
LCM(76787,76807) = ( 76787 × 76807) / 1
LCM(76787,76807) = 5897779109 / 1
LCM(76787,76807) = 5897779109

Least Common Multiple (LCM) of 76787 and 76807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76787 and 76807. First we will calculate the prime factors of 76787 and 76807.

Prime Factorization of 76787

Prime factors of 76787 are 31, 2477. Prime factorization of 76787 in exponential form is:

76787 = 311 × 24771

Prime Factorization of 76807

Prime factors of 76807 are 89, 863. Prime factorization of 76807 in exponential form is:

76807 = 891 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 76787 and 76807.

LCM(76787,76807) = 311 × 24771 × 891 × 8631
LCM(76787,76807) = 5897779109