What is the Least Common Multiple of 79006 and 79025?

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 79006 and 79025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79006 and 79025, than apply into the LCM equation.

GCF(79006,79025) = 1
LCM(79006,79025) = ( 79006 × 79025) / 1
LCM(79006,79025) = 6243449150 / 1
LCM(79006,79025) = 6243449150

Least Common Multiple (LCM) of 79006 and 79025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79006 and 79025. First we will calculate the prime factors of 79006 and 79025.

Prime Factorization of 79006

Prime Factorization of 79025

Now multiplying the highest exponent prime factors to calculate the LCM of 79006 and 79025.

LCM(79006,79025) = 2¹ × 39503¹ × 5² × 29¹ × 109¹
LCM(79006,79025) = 6243449150