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What is the Least Common Multiple of 79057 and 79071?

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 79057 and 79071 is 6251116047.

LCM(79057,79071) = 6251116047

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Least Common Multiple of 79057 and 79071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79057 and 79071, than apply into the LCM equation.

GCF(79057,79071) = 1
LCM(79057,79071) = ( 79057 × 79071) / 1
LCM(79057,79071) = 6251116047 / 1
LCM(79057,79071) = 6251116047

Least Common Multiple (LCM) of 79057 and 79071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79057 and 79071. First we will calculate the prime factors of 79057 and 79071.

Prime Factorization of 79057

Prime factors of 79057 are 11, 7187. Prime factorization of 79057 in exponential form is:

79057 = 111 × 71871

Prime Factorization of 79071

Prime factors of 79071 are 3, 26357. Prime factorization of 79071 in exponential form is:

79071 = 31 × 263571

Now multiplying the highest exponent prime factors to calculate the LCM of 79057 and 79071.

LCM(79057,79071) = 111 × 71871 × 31 × 263571
LCM(79057,79071) = 6251116047