What is the Least Common Multiple of 15170 and 15185?

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 15185 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 15185, than apply into the LCM equation.

GCF(15170,15185) = 5
LCM(15170,15185) = ( 15170 × 15185) / 5
LCM(15170,15185) = 230356450 / 5
LCM(15170,15185) = 46071290

Least Common Multiple (LCM) of 15170 and 15185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15170 and 15185. First we will calculate the prime factors of 15170 and 15185.

Prime Factorization of 15170

Prime Factorization of 15185

Now multiplying the highest exponent prime factors to calculate the LCM of 15170 and 15185.

LCM(15170,15185) = 2¹ × 5¹ × 37¹ × 41¹ × 3037¹
LCM(15170,15185) = 46071290