What is the Least Common Multiple of 73239 and 73254?

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 73239 and 73254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73239 and 73254, than apply into the LCM equation.

GCF(73239,73254) = 3
LCM(73239,73254) = ( 73239 × 73254) / 3
LCM(73239,73254) = 5365049706 / 3
LCM(73239,73254) = 1788349902

Least Common Multiple (LCM) of 73239 and 73254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73239 and 73254. First we will calculate the prime factors of 73239 and 73254.

Prime Factorization of 73239

Prime Factorization of 73254

Now multiplying the highest exponent prime factors to calculate the LCM of 73239 and 73254.

LCM(73239,73254) = 3¹ × 24413¹ × 2¹ × 29¹ × 421¹
LCM(73239,73254) = 1788349902