What is the Least Common Multiple of 13013 and 13032?

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 13013 and 13032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13013 and 13032, than apply into the LCM equation.

GCF(13013,13032) = 1
LCM(13013,13032) = ( 13013 × 13032) / 1
LCM(13013,13032) = 169585416 / 1
LCM(13013,13032) = 169585416

Least Common Multiple (LCM) of 13013 and 13032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13013 and 13032. First we will calculate the prime factors of 13013 and 13032.

Prime Factorization of 13013

Prime Factorization of 13032

Now multiplying the highest exponent prime factors to calculate the LCM of 13013 and 13032.

LCM(13013,13032) = 7¹ × 11¹ × 13² × 2³ × 3² × 181¹
LCM(13013,13032) = 169585416