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What is the Least Common Multiple of 79171 and 79187?

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 79171 and 79187 is 6269313977.

LCM(79171,79187) = 6269313977

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Least Common Multiple of 79171 and 79187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79171 and 79187, than apply into the LCM equation.

GCF(79171,79187) = 1
LCM(79171,79187) = ( 79171 × 79187) / 1
LCM(79171,79187) = 6269313977 / 1
LCM(79171,79187) = 6269313977

Least Common Multiple (LCM) of 79171 and 79187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79171 and 79187. First we will calculate the prime factors of 79171 and 79187.

Prime Factorization of 79171

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

79171 = 411 × 19311

Prime Factorization of 79187

Prime factors of 79187 are 79187. Prime factorization of 79187 in exponential form is:

79187 = 791871

Now multiplying the highest exponent prime factors to calculate the LCM of 79171 and 79187.

LCM(79171,79187) = 411 × 19311 × 791871
LCM(79171,79187) = 6269313977