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What is the Least Common Multiple of 79863 and 79877?

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 79863 and 79877 is 911316693.

LCM(79863,79877) = 911316693

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Least Common Multiple of 79863 and 79877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79863 and 79877, than apply into the LCM equation.

GCF(79863,79877) = 7
LCM(79863,79877) = ( 79863 × 79877) / 7
LCM(79863,79877) = 6379216851 / 7
LCM(79863,79877) = 911316693

Least Common Multiple (LCM) of 79863 and 79877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79863 and 79877. First we will calculate the prime factors of 79863 and 79877.

Prime Factorization of 79863

Prime factors of 79863 are 3, 7, 3803. Prime factorization of 79863 in exponential form is:

79863 = 31 × 71 × 38031

Prime Factorization of 79877

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

79877 = 71 × 114111

Now multiplying the highest exponent prime factors to calculate the LCM of 79863 and 79877.

LCM(79863,79877) = 31 × 71 × 38031 × 114111
LCM(79863,79877) = 911316693