What is the Least Common Multiple of 10602 and 10609?

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 10602 and 10609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10602 and 10609, than apply into the LCM equation.

GCF(10602,10609) = 1
LCM(10602,10609) = ( 10602 × 10609) / 1
LCM(10602,10609) = 112476618 / 1
LCM(10602,10609) = 112476618

Least Common Multiple (LCM) of 10602 and 10609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10602 and 10609. First we will calculate the prime factors of 10602 and 10609.

Prime Factorization of 10602

Prime Factorization of 10609

Now multiplying the highest exponent prime factors to calculate the LCM of 10602 and 10609.

LCM(10602,10609) = 2¹ × 3² × 19¹ × 31¹ × 103²
LCM(10602,10609) = 112476618