What is the Least Common Multiple of 72321 and 72327?

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 72321 and 72327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72321 and 72327, than apply into the LCM equation.

GCF(72321,72327) = 3
LCM(72321,72327) = ( 72321 × 72327) / 3
LCM(72321,72327) = 5230760967 / 3
LCM(72321,72327) = 1743586989

Least Common Multiple (LCM) of 72321 and 72327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72321 and 72327. First we will calculate the prime factors of 72321 and 72327.

Prime Factorization of 72321

Prime Factorization of 72327

Now multiplying the highest exponent prime factors to calculate the LCM of 72321 and 72327.

LCM(72321,72327) = 3¹ × 24107¹ × 24109¹
LCM(72321,72327) = 1743586989