What is the Least Common Multiple of 82284 and 82302?

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 82284 and 82302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82284 and 82302, than apply into the LCM equation.

GCF(82284,82302) = 6
LCM(82284,82302) = ( 82284 × 82302) / 6
LCM(82284,82302) = 6772137768 / 6
LCM(82284,82302) = 1128689628

Least Common Multiple (LCM) of 82284 and 82302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82284 and 82302. First we will calculate the prime factors of 82284 and 82302.

Prime Factorization of 82284

Prime Factorization of 82302

Now multiplying the highest exponent prime factors to calculate the LCM of 82284 and 82302.

LCM(82284,82302) = 2² × 3¹ × 6857¹ × 11¹ × 29¹ × 43¹
LCM(82284,82302) = 1128689628