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What is the Least Common Multiple of 79811 and 79816?

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 79811 and 79816 is 6370194776.

LCM(79811,79816) = 6370194776

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Least Common Multiple of 79811 and 79816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79811 and 79816, than apply into the LCM equation.

GCF(79811,79816) = 1
LCM(79811,79816) = ( 79811 × 79816) / 1
LCM(79811,79816) = 6370194776 / 1
LCM(79811,79816) = 6370194776

Least Common Multiple (LCM) of 79811 and 79816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79811 and 79816. First we will calculate the prime factors of 79811 and 79816.

Prime Factorization of 79811

Prime factors of 79811 are 79811. Prime factorization of 79811 in exponential form is:

79811 = 798111

Prime Factorization of 79816

Prime factors of 79816 are 2, 11, 907. Prime factorization of 79816 in exponential form is:

79816 = 23 × 111 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 79811 and 79816.

LCM(79811,79816) = 798111 × 23 × 111 × 9071
LCM(79811,79816) = 6370194776