What is the Least Common Multiple of 73260 and 73277?

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 73260 and 73277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73260 and 73277, than apply into the LCM equation.

GCF(73260,73277) = 1
LCM(73260,73277) = ( 73260 × 73277) / 1
LCM(73260,73277) = 5368273020 / 1
LCM(73260,73277) = 5368273020

Least Common Multiple (LCM) of 73260 and 73277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73260 and 73277. First we will calculate the prime factors of 73260 and 73277.

Prime Factorization of 73260

Prime Factorization of 73277

Now multiplying the highest exponent prime factors to calculate the LCM of 73260 and 73277.

LCM(73260,73277) = 2² × 3² × 5¹ × 11¹ × 37¹ × 73277¹
LCM(73260,73277) = 5368273020