What is the Least Common Multiple of 79605 and 79625?

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 79605 and 79625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79605 and 79625, than apply into the LCM equation.

GCF(79605,79625) = 5
LCM(79605,79625) = ( 79605 × 79625) / 5
LCM(79605,79625) = 6338548125 / 5
LCM(79605,79625) = 1267709625

Least Common Multiple (LCM) of 79605 and 79625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79605 and 79625. First we will calculate the prime factors of 79605 and 79625.

Prime Factorization of 79605

Prime Factorization of 79625

Now multiplying the highest exponent prime factors to calculate the LCM of 79605 and 79625.

LCM(79605,79625) = 3² × 5³ × 29¹ × 61¹ × 7² × 13¹
LCM(79605,79625) = 1267709625