What is the Least Common Multiple of 72564 and 72584?

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 72564 and 72584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72564 and 72584, than apply into the LCM equation.

GCF(72564,72584) = 4
LCM(72564,72584) = ( 72564 × 72584) / 4
LCM(72564,72584) = 5266985376 / 4
LCM(72564,72584) = 1316746344

Least Common Multiple (LCM) of 72564 and 72584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72564 and 72584. First we will calculate the prime factors of 72564 and 72584.

Prime Factorization of 72564

Prime Factorization of 72584

Now multiplying the highest exponent prime factors to calculate the LCM of 72564 and 72584.

LCM(72564,72584) = 2³ × 3¹ × 6047¹ × 43¹ × 211¹
LCM(72564,72584) = 1316746344