What is the Least Common Multiple of 15170 and 15181?

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 15181 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 15181, than apply into the LCM equation.

GCF(15170,15181) = 1
LCM(15170,15181) = ( 15170 × 15181) / 1
LCM(15170,15181) = 230295770 / 1
LCM(15170,15181) = 230295770

Least Common Multiple (LCM) of 15170 and 15181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15170 and 15181. First we will calculate the prime factors of 15170 and 15181.

Prime Factorization of 15170

Prime Factorization of 15181

Now multiplying the highest exponent prime factors to calculate the LCM of 15170 and 15181.

LCM(15170,15181) = 2¹ × 5¹ × 37¹ × 41¹ × 17¹ × 19¹ × 47¹
LCM(15170,15181) = 230295770