What is the Least Common Multiple of 83289 and 83304?

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 83289 and 83304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83289 and 83304, than apply into the LCM equation.

GCF(83289,83304) = 3
LCM(83289,83304) = ( 83289 × 83304) / 3
LCM(83289,83304) = 6938306856 / 3
LCM(83289,83304) = 2312768952

Least Common Multiple (LCM) of 83289 and 83304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83289 and 83304. First we will calculate the prime factors of 83289 and 83304.

Prime Factorization of 83289

Prime Factorization of 83304

Now multiplying the highest exponent prime factors to calculate the LCM of 83289 and 83304.

LCM(83289,83304) = 3² × 27763¹ × 2³ × 13¹ × 89¹
LCM(83289,83304) = 2312768952