What is the Least Common Multiple of 28164 and 28173?

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 28164 and 28173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28164 and 28173, than apply into the LCM equation.

GCF(28164,28173) = 3
LCM(28164,28173) = ( 28164 × 28173) / 3
LCM(28164,28173) = 793464372 / 3
LCM(28164,28173) = 264488124

Least Common Multiple (LCM) of 28164 and 28173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28164 and 28173. First we will calculate the prime factors of 28164 and 28173.

Prime Factorization of 28164

Prime Factorization of 28173

Now multiplying the highest exponent prime factors to calculate the LCM of 28164 and 28173.

LCM(28164,28173) = 2² × 3¹ × 2347¹ × 9391¹
LCM(28164,28173) = 264488124