What is the Least Common Multiple of 79020 and 79035?

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 79020 and 79035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79020 and 79035, than apply into the LCM equation.

GCF(79020,79035) = 15
LCM(79020,79035) = ( 79020 × 79035) / 15
LCM(79020,79035) = 6245345700 / 15
LCM(79020,79035) = 416356380

Least Common Multiple (LCM) of 79020 and 79035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79020 and 79035. First we will calculate the prime factors of 79020 and 79035.

Prime Factorization of 79020

Prime Factorization of 79035

Now multiplying the highest exponent prime factors to calculate the LCM of 79020 and 79035.

LCM(79020,79035) = 2² × 3² × 5¹ × 439¹ × 11¹ × 479¹
LCM(79020,79035) = 416356380