What is the Least Common Multiple of 28184 and 28197?

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 28184 and 28197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28184 and 28197, than apply into the LCM equation.

GCF(28184,28197) = 13
LCM(28184,28197) = ( 28184 × 28197) / 13
LCM(28184,28197) = 794704248 / 13
LCM(28184,28197) = 61131096

Least Common Multiple (LCM) of 28184 and 28197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28184 and 28197. First we will calculate the prime factors of 28184 and 28197.

Prime Factorization of 28184

Prime Factorization of 28197

Now multiplying the highest exponent prime factors to calculate the LCM of 28184 and 28197.

LCM(28184,28197) = 2³ × 13¹ × 271¹ × 3² × 241¹
LCM(28184,28197) = 61131096