What is the Least Common Multiple of 73500 and 73515?

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 73500 and 73515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73500 and 73515, than apply into the LCM equation.

GCF(73500,73515) = 15
LCM(73500,73515) = ( 73500 × 73515) / 15
LCM(73500,73515) = 5403352500 / 15
LCM(73500,73515) = 360223500

Least Common Multiple (LCM) of 73500 and 73515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73500 and 73515. First we will calculate the prime factors of 73500 and 73515.

Prime Factorization of 73500

Prime Factorization of 73515

Now multiplying the highest exponent prime factors to calculate the LCM of 73500 and 73515.

LCM(73500,73515) = 2² × 3¹ × 5³ × 7² × 13² × 29¹
LCM(73500,73515) = 360223500