What is the Least Common Multiple of 72404 and 72408?

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 72404 and 72408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72404 and 72408, than apply into the LCM equation.

GCF(72404,72408) = 4
LCM(72404,72408) = ( 72404 × 72408) / 4
LCM(72404,72408) = 5242628832 / 4
LCM(72404,72408) = 1310657208

Least Common Multiple (LCM) of 72404 and 72408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72404 and 72408. First we will calculate the prime factors of 72404 and 72408.

Prime Factorization of 72404

Prime Factorization of 72408

Now multiplying the highest exponent prime factors to calculate the LCM of 72404 and 72408.

LCM(72404,72408) = 2³ × 23¹ × 787¹ × 3¹ × 7¹ × 431¹
LCM(72404,72408) = 1310657208