What is the Least Common Multiple of 72321 and 72333?

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 72333 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 72333, than apply into the LCM equation.

GCF(72321,72333) = 3
LCM(72321,72333) = ( 72321 × 72333) / 3
LCM(72321,72333) = 5231194893 / 3
LCM(72321,72333) = 1743731631

Least Common Multiple (LCM) of 72321 and 72333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72321 and 72333. First we will calculate the prime factors of 72321 and 72333.

Prime Factorization of 72321

Prime Factorization of 72333

Now multiplying the highest exponent prime factors to calculate the LCM of 72321 and 72333.

LCM(72321,72333) = 3⁴ × 24107¹ × 19¹ × 47¹
LCM(72321,72333) = 1743731631