What is the Least Common Multiple of 79009 and 79013?

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 of 79009 and 79013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79009 and 79013, than apply into the LCM equation.

GCF(79009,79013) = 1
LCM(79009,79013) = ( 79009 × 79013) / 1
LCM(79009,79013) = 6242738117 / 1
LCM(79009,79013) = 6242738117

Least Common Multiple (LCM) of 79009 and 79013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79009 and 79013. First we will calculate the prime factors of 79009 and 79013.

Prime Factorization of 79009

Prime Factorization of 79013

Now multiplying the highest exponent prime factors to calculate the LCM of 79009 and 79013.

LCM(79009,79013) = 7¹ × 11287¹ × 11² × 653¹
LCM(79009,79013) = 6242738117