What is the Least Common Multiple of 13002 and 13017?

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 13002 and 13017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13002 and 13017, than apply into the LCM equation.

GCF(13002,13017) = 3
LCM(13002,13017) = ( 13002 × 13017) / 3
LCM(13002,13017) = 169247034 / 3
LCM(13002,13017) = 56415678

Least Common Multiple (LCM) of 13002 and 13017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13002 and 13017. First we will calculate the prime factors of 13002 and 13017.

Prime Factorization of 13002

Prime Factorization of 13017

Now multiplying the highest exponent prime factors to calculate the LCM of 13002 and 13017.

LCM(13002,13017) = 2¹ × 3¹ × 11¹ × 197¹ × 4339¹
LCM(13002,13017) = 56415678