What is the Least Common Multiple of 13085 and 13100?

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 13100 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 13100, than apply into the LCM equation.

GCF(13085,13100) = 5
LCM(13085,13100) = ( 13085 × 13100) / 5
LCM(13085,13100) = 171413500 / 5
LCM(13085,13100) = 34282700

Least Common Multiple (LCM) of 13085 and 13100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13085 and 13100. First we will calculate the prime factors of 13085 and 13100.

Prime Factorization of 13085

Prime Factorization of 13100

Now multiplying the highest exponent prime factors to calculate the LCM of 13085 and 13100.

LCM(13085,13100) = 5² × 2617¹ × 2² × 131¹
LCM(13085,13100) = 34282700