What is the Least Common Multiple of 72348 and 72365?

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 72348 and 72365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72348 and 72365, than apply into the LCM equation.

GCF(72348,72365) = 1
LCM(72348,72365) = ( 72348 × 72365) / 1
LCM(72348,72365) = 5235463020 / 1
LCM(72348,72365) = 5235463020

Least Common Multiple (LCM) of 72348 and 72365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72348 and 72365. First we will calculate the prime factors of 72348 and 72365.

Prime Factorization of 72348

Prime Factorization of 72365

Now multiplying the highest exponent prime factors to calculate the LCM of 72348 and 72365.

LCM(72348,72365) = 2² × 3¹ × 6029¹ × 5¹ × 41¹ × 353¹
LCM(72348,72365) = 5235463020