What is the Least Common Multiple of 73230 and 73250?

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 73230 and 73250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73230 and 73250, than apply into the LCM equation.

GCF(73230,73250) = 10
LCM(73230,73250) = ( 73230 × 73250) / 10
LCM(73230,73250) = 5364097500 / 10
LCM(73230,73250) = 536409750

Least Common Multiple (LCM) of 73230 and 73250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73230 and 73250. First we will calculate the prime factors of 73230 and 73250.

Prime Factorization of 73230

Prime Factorization of 73250

Now multiplying the highest exponent prime factors to calculate the LCM of 73230 and 73250.

LCM(73230,73250) = 2¹ × 3¹ × 5³ × 2441¹ × 293¹
LCM(73230,73250) = 536409750