What is the Least Common Multiple of 79000 and 79020?

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 79000 and 79020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79000 and 79020, than apply into the LCM equation.

GCF(79000,79020) = 20
LCM(79000,79020) = ( 79000 × 79020) / 20
LCM(79000,79020) = 6242580000 / 20
LCM(79000,79020) = 312129000

Least Common Multiple (LCM) of 79000 and 79020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79000 and 79020. First we will calculate the prime factors of 79000 and 79020.

Prime Factorization of 79000

Prime Factorization of 79020

Now multiplying the highest exponent prime factors to calculate the LCM of 79000 and 79020.

LCM(79000,79020) = 2³ × 5³ × 79¹ × 3² × 439¹
LCM(79000,79020) = 312129000