What is the Least Common Multiple of 82173 and 82189?

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 82173 and 82189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82173 and 82189, than apply into the LCM equation.

GCF(82173,82189) = 1
LCM(82173,82189) = ( 82173 × 82189) / 1
LCM(82173,82189) = 6753716697 / 1
LCM(82173,82189) = 6753716697

Least Common Multiple (LCM) of 82173 and 82189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82173 and 82189. First we will calculate the prime factors of 82173 and 82189.

Prime Factorization of 82173

Prime Factorization of 82189

Now multiplying the highest exponent prime factors to calculate the LCM of 82173 and 82189.

LCM(82173,82189) = 3¹ × 7² × 13¹ × 43¹ × 82189¹
LCM(82173,82189) = 6753716697