What is the Least Common Multiple of 82332 and 82337?

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 82332 and 82337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82332 and 82337, than apply into the LCM equation.

GCF(82332,82337) = 1
LCM(82332,82337) = ( 82332 × 82337) / 1
LCM(82332,82337) = 6778969884 / 1
LCM(82332,82337) = 6778969884

Least Common Multiple (LCM) of 82332 and 82337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82332 and 82337. First we will calculate the prime factors of 82332 and 82337.

Prime Factorization of 82332

Prime Factorization of 82337

Now multiplying the highest exponent prime factors to calculate the LCM of 82332 and 82337.

LCM(82332,82337) = 2² × 3² × 2287¹ × 137¹ × 601¹
LCM(82332,82337) = 6778969884