What is the Least Common Multiple of 72809 and 72816?

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 72809 and 72816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72809 and 72816, than apply into the LCM equation.

GCF(72809,72816) = 1
LCM(72809,72816) = ( 72809 × 72816) / 1
LCM(72809,72816) = 5301660144 / 1
LCM(72809,72816) = 5301660144

Least Common Multiple (LCM) of 72809 and 72816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72809 and 72816. First we will calculate the prime factors of 72809 and 72816.

Prime Factorization of 72809

Prime Factorization of 72816

Now multiplying the highest exponent prime factors to calculate the LCM of 72809 and 72816.

LCM(72809,72816) = 11¹ × 6619¹ × 2⁴ × 3¹ × 37¹ × 41¹
LCM(72809,72816) = 5301660144