What is the Least Common Multiple of 13085 and 13095?

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 13085 and 13095 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13085 and 13095, than apply into the LCM equation.

GCF(13085,13095) = 5
LCM(13085,13095) = ( 13085 × 13095) / 5
LCM(13085,13095) = 171348075 / 5
LCM(13085,13095) = 34269615

Least Common Multiple (LCM) of 13085 and 13095 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13085 and 13095. First we will calculate the prime factors of 13085 and 13095.

Prime Factorization of 13085

Prime Factorization of 13095

Now multiplying the highest exponent prime factors to calculate the LCM of 13085 and 13095.

LCM(13085,13095) = 5¹ × 2617¹ × 3³ × 97¹
LCM(13085,13095) = 34269615