What is the Least Common Multiple of 72896 and 72916?

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 72896 and 72916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72896 and 72916, than apply into the LCM equation.

GCF(72896,72916) = 4
LCM(72896,72916) = ( 72896 × 72916) / 4
LCM(72896,72916) = 5315284736 / 4
LCM(72896,72916) = 1328821184

Least Common Multiple (LCM) of 72896 and 72916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72896 and 72916. First we will calculate the prime factors of 72896 and 72916.

Prime Factorization of 72896

Prime Factorization of 72916

Now multiplying the highest exponent prime factors to calculate the LCM of 72896 and 72916.

LCM(72896,72916) = 2⁶ × 17¹ × 67¹ × 18229¹
LCM(72896,72916) = 1328821184