What is the Least Common Multiple of 72036 and 72054?

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 72036 and 72054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72036 and 72054, than apply into the LCM equation.

GCF(72036,72054) = 18
LCM(72036,72054) = ( 72036 × 72054) / 18
LCM(72036,72054) = 5190481944 / 18
LCM(72036,72054) = 288360108

Least Common Multiple (LCM) of 72036 and 72054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72036 and 72054. First we will calculate the prime factors of 72036 and 72054.

Prime Factorization of 72036

Prime Factorization of 72054

Now multiplying the highest exponent prime factors to calculate the LCM of 72036 and 72054.

LCM(72036,72054) = 2² × 3³ × 23¹ × 29¹ × 4003¹
LCM(72036,72054) = 288360108