What is the Least Common Multiple of 84330 and 84345?

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 84330 and 84345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84330 and 84345, than apply into the LCM equation.

GCF(84330,84345) = 15
LCM(84330,84345) = ( 84330 × 84345) / 15
LCM(84330,84345) = 7112813850 / 15
LCM(84330,84345) = 474187590

Least Common Multiple (LCM) of 84330 and 84345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84330 and 84345. First we will calculate the prime factors of 84330 and 84345.

Prime Factorization of 84330

Prime Factorization of 84345

Now multiplying the highest exponent prime factors to calculate the LCM of 84330 and 84345.

LCM(84330,84345) = 2¹ × 3² × 5¹ × 937¹ × 5623¹
LCM(84330,84345) = 474187590