What is the Least Common Multiple of 72600 and 72610?

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 72610 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 72610, than apply into the LCM equation.

GCF(72600,72610) = 10
LCM(72600,72610) = ( 72600 × 72610) / 10
LCM(72600,72610) = 5271486000 / 10
LCM(72600,72610) = 527148600

Least Common Multiple (LCM) of 72600 and 72610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72600 and 72610. First we will calculate the prime factors of 72600 and 72610.

Prime Factorization of 72600

Prime Factorization of 72610

Now multiplying the highest exponent prime factors to calculate the LCM of 72600 and 72610.

LCM(72600,72610) = 2³ × 3¹ × 5² × 11² × 53¹ × 137¹
LCM(72600,72610) = 527148600