What is the Least Common Multiple of 72320 and 72328?

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 72328 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 72328, than apply into the LCM equation.

GCF(72320,72328) = 8
LCM(72320,72328) = ( 72320 × 72328) / 8
LCM(72320,72328) = 5230760960 / 8
LCM(72320,72328) = 653845120

Least Common Multiple (LCM) of 72320 and 72328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72320 and 72328. First we will calculate the prime factors of 72320 and 72328.

Prime Factorization of 72320

Prime Factorization of 72328

Now multiplying the highest exponent prime factors to calculate the LCM of 72320 and 72328.

LCM(72320,72328) = 2⁷ × 5¹ × 113¹ × 9041¹
LCM(72320,72328) = 653845120