What is the Least Common Multiple of 24016 and 24022?

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 24016 and 24022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24016 and 24022, than apply into the LCM equation.

GCF(24016,24022) = 2
LCM(24016,24022) = ( 24016 × 24022) / 2
LCM(24016,24022) = 576912352 / 2
LCM(24016,24022) = 288456176

Least Common Multiple (LCM) of 24016 and 24022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24016 and 24022. First we will calculate the prime factors of 24016 and 24022.

Prime Factorization of 24016

Prime Factorization of 24022

Now multiplying the highest exponent prime factors to calculate the LCM of 24016 and 24022.

LCM(24016,24022) = 2⁴ × 19¹ × 79¹ × 12011¹
LCM(24016,24022) = 288456176