What is the Least Common Multiple of 13176 and 13185?

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 13176 and 13185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13176 and 13185, than apply into the LCM equation.

GCF(13176,13185) = 9
LCM(13176,13185) = ( 13176 × 13185) / 9
LCM(13176,13185) = 173725560 / 9
LCM(13176,13185) = 19302840

Least Common Multiple (LCM) of 13176 and 13185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13176 and 13185. First we will calculate the prime factors of 13176 and 13185.

Prime Factorization of 13176

Prime Factorization of 13185

Now multiplying the highest exponent prime factors to calculate the LCM of 13176 and 13185.

LCM(13176,13185) = 2³ × 3³ × 61¹ × 5¹ × 293¹
LCM(13176,13185) = 19302840