What is the Least Common Multiple of 72150 and 72165?

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 72150 and 72165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72150 and 72165, than apply into the LCM equation.

GCF(72150,72165) = 15
LCM(72150,72165) = ( 72150 × 72165) / 15
LCM(72150,72165) = 5206704750 / 15
LCM(72150,72165) = 347113650

Least Common Multiple (LCM) of 72150 and 72165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72150 and 72165. First we will calculate the prime factors of 72150 and 72165.

Prime Factorization of 72150

Prime Factorization of 72165

Now multiplying the highest exponent prime factors to calculate the LCM of 72150 and 72165.

LCM(72150,72165) = 2¹ × 3¹ × 5² × 13¹ × 37¹ × 17¹ × 283¹
LCM(72150,72165) = 347113650