What is the Least Common Multiple of 10013 and 10032?

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 10013 and 10032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10013 and 10032, than apply into the LCM equation.

GCF(10013,10032) = 19
LCM(10013,10032) = ( 10013 × 10032) / 19
LCM(10013,10032) = 100450416 / 19
LCM(10013,10032) = 5286864

Least Common Multiple (LCM) of 10013 and 10032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10013 and 10032. First we will calculate the prime factors of 10013 and 10032.

Prime Factorization of 10013

Prime Factorization of 10032

Now multiplying the highest exponent prime factors to calculate the LCM of 10013 and 10032.

LCM(10013,10032) = 17¹ × 19¹ × 31¹ × 2⁴ × 3¹ × 11¹
LCM(10013,10032) = 5286864