What is the Least Common Multiple of 15008 and 15012?

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 15008 and 15012 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15008 and 15012, than apply into the LCM equation.

GCF(15008,15012) = 4
LCM(15008,15012) = ( 15008 × 15012) / 4
LCM(15008,15012) = 225300096 / 4
LCM(15008,15012) = 56325024

Least Common Multiple (LCM) of 15008 and 15012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15008 and 15012. First we will calculate the prime factors of 15008 and 15012.

Prime Factorization of 15008

Prime Factorization of 15012

Now multiplying the highest exponent prime factors to calculate the LCM of 15008 and 15012.

LCM(15008,15012) = 2⁵ × 7¹ × 67¹ × 3³ × 139¹
LCM(15008,15012) = 56325024