What is the Least Common Multiple of 72584 and 72596?

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 72584 and 72596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72584 and 72596, than apply into the LCM equation.

GCF(72584,72596) = 4
LCM(72584,72596) = ( 72584 × 72596) / 4
LCM(72584,72596) = 5269308064 / 4
LCM(72584,72596) = 1317327016

Least Common Multiple (LCM) of 72584 and 72596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72584 and 72596. First we will calculate the prime factors of 72584 and 72596.

Prime Factorization of 72584

Prime Factorization of 72596

Now multiplying the highest exponent prime factors to calculate the LCM of 72584 and 72596.

LCM(72584,72596) = 2³ × 43¹ × 211¹ × 18149¹
LCM(72584,72596) = 1317327016