What is the Least Common Multiple of 15008 and 15020?

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 15020 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 15020, than apply into the LCM equation.

GCF(15008,15020) = 4
LCM(15008,15020) = ( 15008 × 15020) / 4
LCM(15008,15020) = 225420160 / 4
LCM(15008,15020) = 56355040

Least Common Multiple (LCM) of 15008 and 15020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15008 and 15020. First we will calculate the prime factors of 15008 and 15020.

Prime Factorization of 15008

Prime Factorization of 15020

Now multiplying the highest exponent prime factors to calculate the LCM of 15008 and 15020.

LCM(15008,15020) = 2⁵ × 7¹ × 67¹ × 5¹ × 751¹
LCM(15008,15020) = 56355040