What is the Least Common Multiple of 13017 and 13035?

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 13017 and 13035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13017 and 13035, than apply into the LCM equation.

GCF(13017,13035) = 3
LCM(13017,13035) = ( 13017 × 13035) / 3
LCM(13017,13035) = 169676595 / 3
LCM(13017,13035) = 56558865

Least Common Multiple (LCM) of 13017 and 13035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13017 and 13035. First we will calculate the prime factors of 13017 and 13035.

Prime Factorization of 13017

Prime Factorization of 13035

Now multiplying the highest exponent prime factors to calculate the LCM of 13017 and 13035.

LCM(13017,13035) = 3¹ × 4339¹ × 5¹ × 11¹ × 79¹
LCM(13017,13035) = 56558865