What is the Least Common Multiple of 72320 and 72339?

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 72320 and 72339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72320 and 72339, than apply into the LCM equation.

GCF(72320,72339) = 1
LCM(72320,72339) = ( 72320 × 72339) / 1
LCM(72320,72339) = 5231556480 / 1
LCM(72320,72339) = 5231556480

Least Common Multiple (LCM) of 72320 and 72339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72320 and 72339. First we will calculate the prime factors of 72320 and 72339.

Prime Factorization of 72320

Prime Factorization of 72339

Now multiplying the highest exponent prime factors to calculate the LCM of 72320 and 72339.

LCM(72320,72339) = 2⁷ × 5¹ × 113¹ × 3¹ × 24113¹
LCM(72320,72339) = 5231556480