What is the Least Common Multiple of 72816 and 72833?

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 72816 and 72833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72816 and 72833, than apply into the LCM equation.

GCF(72816,72833) = 1
LCM(72816,72833) = ( 72816 × 72833) / 1
LCM(72816,72833) = 5303407728 / 1
LCM(72816,72833) = 5303407728

Least Common Multiple (LCM) of 72816 and 72833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72816 and 72833. First we will calculate the prime factors of 72816 and 72833.

Prime Factorization of 72816

Prime Factorization of 72833

Now multiplying the highest exponent prime factors to calculate the LCM of 72816 and 72833.

LCM(72816,72833) = 2⁴ × 3¹ × 37¹ × 41¹ × 173¹ × 421¹
LCM(72816,72833) = 5303407728