What is the Least Common Multiple of 28149 and 28168?

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 28149 and 28168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28149 and 28168, than apply into the LCM equation.

GCF(28149,28168) = 1
LCM(28149,28168) = ( 28149 × 28168) / 1
LCM(28149,28168) = 792901032 / 1
LCM(28149,28168) = 792901032

Least Common Multiple (LCM) of 28149 and 28168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28149 and 28168. First we will calculate the prime factors of 28149 and 28168.

Prime Factorization of 28149

Prime Factorization of 28168

Now multiplying the highest exponent prime factors to calculate the LCM of 28149 and 28168.

LCM(28149,28168) = 3¹ × 11¹ × 853¹ × 2³ × 7¹ × 503¹
LCM(28149,28168) = 792901032