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What is the Least Common Multiple of 79166 and 79177?

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 79166 and 79177 is 6268126382.

LCM(79166,79177) = 6268126382

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Least Common Multiple of 79166 and 79177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79166 and 79177, than apply into the LCM equation.

GCF(79166,79177) = 1
LCM(79166,79177) = ( 79166 × 79177) / 1
LCM(79166,79177) = 6268126382 / 1
LCM(79166,79177) = 6268126382

Least Common Multiple (LCM) of 79166 and 79177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79166 and 79177. First we will calculate the prime factors of 79166 and 79177.

Prime Factorization of 79166

Prime factors of 79166 are 2, 23, 1721. Prime factorization of 79166 in exponential form is:

79166 = 21 × 231 × 17211

Prime Factorization of 79177

Prime factors of 79177 are 7, 11311. Prime factorization of 79177 in exponential form is:

79177 = 71 × 113111

Now multiplying the highest exponent prime factors to calculate the LCM of 79166 and 79177.

LCM(79166,79177) = 21 × 231 × 17211 × 71 × 113111
LCM(79166,79177) = 6268126382