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What is the Least Common Multiple of 79061 and 79078?

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 79061 and 79078 is 6251985758.

LCM(79061,79078) = 6251985758

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Least Common Multiple of 79061 and 79078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79061 and 79078, than apply into the LCM equation.

GCF(79061,79078) = 1
LCM(79061,79078) = ( 79061 × 79078) / 1
LCM(79061,79078) = 6251985758 / 1
LCM(79061,79078) = 6251985758

Least Common Multiple (LCM) of 79061 and 79078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79061 and 79078. First we will calculate the prime factors of 79061 and 79078.

Prime Factorization of 79061

Prime factors of 79061 are 173, 457. Prime factorization of 79061 in exponential form is:

79061 = 1731 × 4571

Prime Factorization of 79078

Prime factors of 79078 are 2, 19, 2081. Prime factorization of 79078 in exponential form is:

79078 = 21 × 191 × 20811

Now multiplying the highest exponent prime factors to calculate the LCM of 79061 and 79078.

LCM(79061,79078) = 1731 × 4571 × 21 × 191 × 20811
LCM(79061,79078) = 6251985758