What is the Least Common Multiple of 72468 and 72474?

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 72468 and 72474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72468 and 72474, than apply into the LCM equation.

GCF(72468,72474) = 6
LCM(72468,72474) = ( 72468 × 72474) / 6
LCM(72468,72474) = 5252045832 / 6
LCM(72468,72474) = 875340972

Least Common Multiple (LCM) of 72468 and 72474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72468 and 72474. First we will calculate the prime factors of 72468 and 72474.

Prime Factorization of 72468

Prime Factorization of 72474

Now multiplying the highest exponent prime factors to calculate the LCM of 72468 and 72474.

LCM(72468,72474) = 2² × 3³ × 11¹ × 61¹ × 47¹ × 257¹
LCM(72468,72474) = 875340972