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What is the Least Common Multiple of 79115 and 79130?

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 79115 and 79130 is 1252073990.

LCM(79115,79130) = 1252073990

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Least Common Multiple of 79115 and 79130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79115 and 79130, than apply into the LCM equation.

GCF(79115,79130) = 5
LCM(79115,79130) = ( 79115 × 79130) / 5
LCM(79115,79130) = 6260369950 / 5
LCM(79115,79130) = 1252073990

Least Common Multiple (LCM) of 79115 and 79130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79115 and 79130. First we will calculate the prime factors of 79115 and 79130.

Prime Factorization of 79115

Prime factors of 79115 are 5, 15823. Prime factorization of 79115 in exponential form is:

79115 = 51 × 158231

Prime Factorization of 79130

Prime factors of 79130 are 2, 5, 41, 193. Prime factorization of 79130 in exponential form is:

79130 = 21 × 51 × 411 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 79115 and 79130.

LCM(79115,79130) = 51 × 158231 × 21 × 411 × 1931
LCM(79115,79130) = 1252073990