What is the Least Common Multiple of 15052 and 15066?

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 15052 and 15066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15052 and 15066, than apply into the LCM equation.

GCF(15052,15066) = 2
LCM(15052,15066) = ( 15052 × 15066) / 2
LCM(15052,15066) = 226773432 / 2
LCM(15052,15066) = 113386716

Least Common Multiple (LCM) of 15052 and 15066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15052 and 15066. First we will calculate the prime factors of 15052 and 15066.

Prime Factorization of 15052

Prime Factorization of 15066

Now multiplying the highest exponent prime factors to calculate the LCM of 15052 and 15066.

LCM(15052,15066) = 2² × 53¹ × 71¹ × 3⁵ × 31¹
LCM(15052,15066) = 113386716