What is the Least Common Multiple of 19170 and 19185?

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 19170 and 19185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19170 and 19185, than apply into the LCM equation.

GCF(19170,19185) = 15
LCM(19170,19185) = ( 19170 × 19185) / 15
LCM(19170,19185) = 367776450 / 15
LCM(19170,19185) = 24518430

Least Common Multiple (LCM) of 19170 and 19185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19170 and 19185. First we will calculate the prime factors of 19170 and 19185.

Prime Factorization of 19170

Prime Factorization of 19185

Now multiplying the highest exponent prime factors to calculate the LCM of 19170 and 19185.

LCM(19170,19185) = 2¹ × 3³ × 5¹ × 71¹ × 1279¹
LCM(19170,19185) = 24518430