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What is the Least Common Multiple of 79015 and 79026?

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 79015 and 79026 is 6244239390.

LCM(79015,79026) = 6244239390

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Least Common Multiple of 79015 and 79026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79015 and 79026, than apply into the LCM equation.

GCF(79015,79026) = 1
LCM(79015,79026) = ( 79015 × 79026) / 1
LCM(79015,79026) = 6244239390 / 1
LCM(79015,79026) = 6244239390

Least Common Multiple (LCM) of 79015 and 79026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79015 and 79026. First we will calculate the prime factors of 79015 and 79026.

Prime Factorization of 79015

Prime factors of 79015 are 5, 15803. Prime factorization of 79015 in exponential form is:

79015 = 51 × 158031

Prime Factorization of 79026

Prime factors of 79026 are 2, 3, 13171. Prime factorization of 79026 in exponential form is:

79026 = 21 × 31 × 131711

Now multiplying the highest exponent prime factors to calculate the LCM of 79015 and 79026.

LCM(79015,79026) = 51 × 158031 × 21 × 31 × 131711
LCM(79015,79026) = 6244239390