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What is the Least Common Multiple of 79877 and 79886?

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 79877 and 79886 is 6381054022.

LCM(79877,79886) = 6381054022

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Least Common Multiple of 79877 and 79886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79877 and 79886, than apply into the LCM equation.

GCF(79877,79886) = 1
LCM(79877,79886) = ( 79877 × 79886) / 1
LCM(79877,79886) = 6381054022 / 1
LCM(79877,79886) = 6381054022

Least Common Multiple (LCM) of 79877 and 79886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79877 and 79886. First we will calculate the prime factors of 79877 and 79886.

Prime Factorization of 79877

Prime factors of 79877 are 7, 11411. Prime factorization of 79877 in exponential form is:

79877 = 71 × 114111

Prime Factorization of 79886

Prime factors of 79886 are 2, 59, 677. Prime factorization of 79886 in exponential form is:

79886 = 21 × 591 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 79877 and 79886.

LCM(79877,79886) = 71 × 114111 × 21 × 591 × 6771
LCM(79877,79886) = 6381054022