What is the Least Common Multiple of 73224 and 73239?

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 73224 and 73239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73224 and 73239, than apply into the LCM equation.

GCF(73224,73239) = 3
LCM(73224,73239) = ( 73224 × 73239) / 3
LCM(73224,73239) = 5362852536 / 3
LCM(73224,73239) = 1787617512

Least Common Multiple (LCM) of 73224 and 73239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73224 and 73239. First we will calculate the prime factors of 73224 and 73239.

Prime Factorization of 73224

Prime Factorization of 73239

Now multiplying the highest exponent prime factors to calculate the LCM of 73224 and 73239.

LCM(73224,73239) = 2³ × 3⁴ × 113¹ × 24413¹
LCM(73224,73239) = 1787617512