What is the Least Common Multiple of 73325 and 73339?

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 73325 and 73339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73325 and 73339, than apply into the LCM equation.

GCF(73325,73339) = 7
LCM(73325,73339) = ( 73325 × 73339) / 7
LCM(73325,73339) = 5377582175 / 7
LCM(73325,73339) = 768226025

Least Common Multiple (LCM) of 73325 and 73339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73325 and 73339. First we will calculate the prime factors of 73325 and 73339.

Prime Factorization of 73325

Prime Factorization of 73339

Now multiplying the highest exponent prime factors to calculate the LCM of 73325 and 73339.

LCM(73325,73339) = 5² × 7¹ × 419¹ × 10477¹
LCM(73325,73339) = 768226025