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What is the Least Common Multiple of 79162 and 79171?

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 79162 and 79171 is 6267334702.

LCM(79162,79171) = 6267334702

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Least Common Multiple of 79162 and 79171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79162 and 79171, than apply into the LCM equation.

GCF(79162,79171) = 1
LCM(79162,79171) = ( 79162 × 79171) / 1
LCM(79162,79171) = 6267334702 / 1
LCM(79162,79171) = 6267334702

Least Common Multiple (LCM) of 79162 and 79171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79162 and 79171. First we will calculate the prime factors of 79162 and 79171.

Prime Factorization of 79162

Prime factors of 79162 are 2, 39581. Prime factorization of 79162 in exponential form is:

79162 = 21 × 395811

Prime Factorization of 79171

Prime factors of 79171 are 41, 1931. Prime factorization of 79171 in exponential form is:

79171 = 411 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 79162 and 79171.

LCM(79162,79171) = 21 × 395811 × 411 × 19311
LCM(79162,79171) = 6267334702