What is the Least Common Multiple of 28152 and 28167?

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 28152 and 28167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28152 and 28167, than apply into the LCM equation.

GCF(28152,28167) = 3
LCM(28152,28167) = ( 28152 × 28167) / 3
LCM(28152,28167) = 792957384 / 3
LCM(28152,28167) = 264319128

Least Common Multiple (LCM) of 28152 and 28167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28152 and 28167. First we will calculate the prime factors of 28152 and 28167.

Prime Factorization of 28152

Prime Factorization of 28167

Now multiplying the highest exponent prime factors to calculate the LCM of 28152 and 28167.

LCM(28152,28167) = 2³ × 3² × 17¹ × 23¹ × 41¹ × 229¹
LCM(28152,28167) = 264319128