What is the Least Common Multiple of 72024 and 72042?

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 72024 and 72042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72024 and 72042, than apply into the LCM equation.

GCF(72024,72042) = 6
LCM(72024,72042) = ( 72024 × 72042) / 6
LCM(72024,72042) = 5188753008 / 6
LCM(72024,72042) = 864792168

Least Common Multiple (LCM) of 72024 and 72042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72024 and 72042. First we will calculate the prime factors of 72024 and 72042.

Prime Factorization of 72024

Prime Factorization of 72042

Now multiplying the highest exponent prime factors to calculate the LCM of 72024 and 72042.

LCM(72024,72042) = 2³ × 3¹ × 3001¹ × 12007¹
LCM(72024,72042) = 864792168