What is the Least Common Multiple of 72600 and 72613?

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 72600 and 72613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72600 and 72613, than apply into the LCM equation.

GCF(72600,72613) = 1
LCM(72600,72613) = ( 72600 × 72613) / 1
LCM(72600,72613) = 5271703800 / 1
LCM(72600,72613) = 5271703800

Least Common Multiple (LCM) of 72600 and 72613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72600 and 72613. First we will calculate the prime factors of 72600 and 72613.

Prime Factorization of 72600

Prime Factorization of 72613

Now multiplying the highest exponent prime factors to calculate the LCM of 72600 and 72613.

LCM(72600,72613) = 2³ × 3¹ × 5² × 11² × 72613¹
LCM(72600,72613) = 5271703800