What is the Least Common Multiple of 90012 and 90020?

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 90012 and 90020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90012 and 90020, than apply into the LCM equation.

GCF(90012,90020) = 4
LCM(90012,90020) = ( 90012 × 90020) / 4
LCM(90012,90020) = 8102880240 / 4
LCM(90012,90020) = 2025720060

Least Common Multiple (LCM) of 90012 and 90020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90012 and 90020. First we will calculate the prime factors of 90012 and 90020.

Prime Factorization of 90012

Prime Factorization of 90020

Now multiplying the highest exponent prime factors to calculate the LCM of 90012 and 90020.

LCM(90012,90020) = 2² × 3¹ × 13¹ × 577¹ × 5¹ × 7¹ × 643¹
LCM(90012,90020) = 2025720060