What is the Least Common Multiple of 72042 and 72056?

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 72042 and 72056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72042 and 72056, than apply into the LCM equation.

GCF(72042,72056) = 2
LCM(72042,72056) = ( 72042 × 72056) / 2
LCM(72042,72056) = 5191058352 / 2
LCM(72042,72056) = 2595529176

Least Common Multiple (LCM) of 72042 and 72056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72042 and 72056. First we will calculate the prime factors of 72042 and 72056.

Prime Factorization of 72042

Prime Factorization of 72056

Now multiplying the highest exponent prime factors to calculate the LCM of 72042 and 72056.

LCM(72042,72056) = 2³ × 3¹ × 12007¹ × 9007¹
LCM(72042,72056) = 2595529176