What is the Least Common Multiple of 83364 and 83379?

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 83364 and 83379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83364 and 83379, than apply into the LCM equation.

GCF(83364,83379) = 3
LCM(83364,83379) = ( 83364 × 83379) / 3
LCM(83364,83379) = 6950806956 / 3
LCM(83364,83379) = 2316935652

Least Common Multiple (LCM) of 83364 and 83379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83364 and 83379. First we will calculate the prime factors of 83364 and 83379.

Prime Factorization of 83364

Prime Factorization of 83379

Now multiplying the highest exponent prime factors to calculate the LCM of 83364 and 83379.

LCM(83364,83379) = 2² × 3¹ × 6947¹ × 27793¹
LCM(83364,83379) = 2316935652