What is the Least Common Multiple of 15152 and 15168?

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 15152 and 15168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15152 and 15168, than apply into the LCM equation.

GCF(15152,15168) = 16
LCM(15152,15168) = ( 15152 × 15168) / 16
LCM(15152,15168) = 229825536 / 16
LCM(15152,15168) = 14364096

Least Common Multiple (LCM) of 15152 and 15168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15152 and 15168. First we will calculate the prime factors of 15152 and 15168.

Prime Factorization of 15152

Prime Factorization of 15168

Now multiplying the highest exponent prime factors to calculate the LCM of 15152 and 15168.

LCM(15152,15168) = 2⁶ × 947¹ × 3¹ × 79¹
LCM(15152,15168) = 14364096