What is the Least Common Multiple of 72022 and 72040?

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 72022 and 72040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72022 and 72040, than apply into the LCM equation.

GCF(72022,72040) = 2
LCM(72022,72040) = ( 72022 × 72040) / 2
LCM(72022,72040) = 5188464880 / 2
LCM(72022,72040) = 2594232440

Least Common Multiple (LCM) of 72022 and 72040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72022 and 72040. First we will calculate the prime factors of 72022 and 72040.

Prime Factorization of 72022

Prime Factorization of 72040

Now multiplying the highest exponent prime factors to calculate the LCM of 72022 and 72040.

LCM(72022,72040) = 2³ × 36011¹ × 5¹ × 1801¹
LCM(72022,72040) = 2594232440