What is the Least Common Multiple of 73500 and 73513?

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 73513 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 73513, than apply into the LCM equation.

GCF(73500,73513) = 1
LCM(73500,73513) = ( 73500 × 73513) / 1
LCM(73500,73513) = 5403205500 / 1
LCM(73500,73513) = 5403205500

Least Common Multiple (LCM) of 73500 and 73513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73500 and 73513. First we will calculate the prime factors of 73500 and 73513.

Prime Factorization of 73500

Prime Factorization of 73513

Now multiplying the highest exponent prime factors to calculate the LCM of 73500 and 73513.

LCM(73500,73513) = 2² × 3¹ × 5³ × 7² × 11¹ × 41¹ × 163¹
LCM(73500,73513) = 5403205500