What is the Least Common Multiple of 16170 and 16185?

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 16170 and 16185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16170 and 16185, than apply into the LCM equation.

GCF(16170,16185) = 15
LCM(16170,16185) = ( 16170 × 16185) / 15
LCM(16170,16185) = 261711450 / 15
LCM(16170,16185) = 17447430

Least Common Multiple (LCM) of 16170 and 16185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16170 and 16185. First we will calculate the prime factors of 16170 and 16185.

Prime Factorization of 16170

Prime Factorization of 16185

Now multiplying the highest exponent prime factors to calculate the LCM of 16170 and 16185.

LCM(16170,16185) = 2¹ × 3¹ × 5¹ × 7² × 11¹ × 13¹ × 83¹
LCM(16170,16185) = 17447430