What is the Least Common Multiple of 73500 and 73510?

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 73510 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 73510, than apply into the LCM equation.

GCF(73500,73510) = 10
LCM(73500,73510) = ( 73500 × 73510) / 10
LCM(73500,73510) = 5402985000 / 10
LCM(73500,73510) = 540298500

Least Common Multiple (LCM) of 73500 and 73510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73500 and 73510. First we will calculate the prime factors of 73500 and 73510.

Prime Factorization of 73500

Prime Factorization of 73510

Now multiplying the highest exponent prime factors to calculate the LCM of 73500 and 73510.

LCM(73500,73510) = 2² × 3¹ × 5³ × 7² × 7351¹
LCM(73500,73510) = 540298500