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What is the Least Common Multiple of 79207 and 79215?

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 79207 and 79215 is 6274382505.

LCM(79207,79215) = 6274382505

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Least Common Multiple of 79207 and 79215 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79207 and 79215, than apply into the LCM equation.

GCF(79207,79215) = 1
LCM(79207,79215) = ( 79207 × 79215) / 1
LCM(79207,79215) = 6274382505 / 1
LCM(79207,79215) = 6274382505

Least Common Multiple (LCM) of 79207 and 79215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79207 and 79215. First we will calculate the prime factors of 79207 and 79215.

Prime Factorization of 79207

Prime factors of 79207 are 103, 769. Prime factorization of 79207 in exponential form is:

79207 = 1031 × 7691

Prime Factorization of 79215

Prime factors of 79215 are 3, 5, 5281. Prime factorization of 79215 in exponential form is:

79215 = 31 × 51 × 52811

Now multiplying the highest exponent prime factors to calculate the LCM of 79207 and 79215.

LCM(79207,79215) = 1031 × 7691 × 31 × 51 × 52811
LCM(79207,79215) = 6274382505