What is the Least Common Multiple of 72396 and 72406?

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 72396 and 72406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72396 and 72406, than apply into the LCM equation.

GCF(72396,72406) = 2
LCM(72396,72406) = ( 72396 × 72406) / 2
LCM(72396,72406) = 5241904776 / 2
LCM(72396,72406) = 2620952388

Least Common Multiple (LCM) of 72396 and 72406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72396 and 72406. First we will calculate the prime factors of 72396 and 72406.

Prime Factorization of 72396

Prime Factorization of 72406

Now multiplying the highest exponent prime factors to calculate the LCM of 72396 and 72406.

LCM(72396,72406) = 2² × 3² × 2011¹ × 41¹ × 883¹
LCM(72396,72406) = 2620952388