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What is the Least Common Multiple of 79886 and 79892?

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 79886 and 79892 is 3191126156.

LCM(79886,79892) = 3191126156

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Least Common Multiple of 79886 and 79892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79886 and 79892, than apply into the LCM equation.

GCF(79886,79892) = 2
LCM(79886,79892) = ( 79886 × 79892) / 2
LCM(79886,79892) = 6382252312 / 2
LCM(79886,79892) = 3191126156

Least Common Multiple (LCM) of 79886 and 79892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79886 and 79892. First we will calculate the prime factors of 79886 and 79892.

Prime Factorization of 79886

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

79886 = 21 × 591 × 6771

Prime Factorization of 79892

Prime factors of 79892 are 2, 19973. Prime factorization of 79892 in exponential form is:

79892 = 22 × 199731

Now multiplying the highest exponent prime factors to calculate the LCM of 79886 and 79892.

LCM(79886,79892) = 22 × 591 × 6771 × 199731
LCM(79886,79892) = 3191126156