What is the Least Common Multiple of 15170 and 15176?

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 15170 and 15176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15170 and 15176, than apply into the LCM equation.

GCF(15170,15176) = 2
LCM(15170,15176) = ( 15170 × 15176) / 2
LCM(15170,15176) = 230219920 / 2
LCM(15170,15176) = 115109960

Least Common Multiple (LCM) of 15170 and 15176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15170 and 15176. First we will calculate the prime factors of 15170 and 15176.

Prime Factorization of 15170

Prime Factorization of 15176

Now multiplying the highest exponent prime factors to calculate the LCM of 15170 and 15176.

LCM(15170,15176) = 2³ × 5¹ × 37¹ × 41¹ × 7¹ × 271¹
LCM(15170,15176) = 115109960