What is the Least Common Multiple of 13152 and 13167?

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 13152 and 13167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13152 and 13167, than apply into the LCM equation.

GCF(13152,13167) = 3
LCM(13152,13167) = ( 13152 × 13167) / 3
LCM(13152,13167) = 173172384 / 3
LCM(13152,13167) = 57724128

Least Common Multiple (LCM) of 13152 and 13167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13152 and 13167. First we will calculate the prime factors of 13152 and 13167.

Prime Factorization of 13152

Prime Factorization of 13167

Now multiplying the highest exponent prime factors to calculate the LCM of 13152 and 13167.

LCM(13152,13167) = 2⁵ × 3² × 137¹ × 7¹ × 11¹ × 19¹
LCM(13152,13167) = 57724128