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What is the Least Common Multiple of 92863 and 92879?

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 92863 and 92879 is 8625022577.

LCM(92863,92879) = 8625022577

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Least Common Multiple of 92863 and 92879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92863 and 92879, than apply into the LCM equation.

GCF(92863,92879) = 1
LCM(92863,92879) = ( 92863 × 92879) / 1
LCM(92863,92879) = 8625022577 / 1
LCM(92863,92879) = 8625022577

Least Common Multiple (LCM) of 92863 and 92879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92863 and 92879. First we will calculate the prime factors of 92863 and 92879.

Prime Factorization of 92863

Prime factors of 92863 are 92863. Prime factorization of 92863 in exponential form is:

92863 = 928631

Prime Factorization of 92879

Prime factors of 92879 are 131, 709. Prime factorization of 92879 in exponential form is:

92879 = 1311 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 92863 and 92879.

LCM(92863,92879) = 928631 × 1311 × 7091
LCM(92863,92879) = 8625022577