What is the Least Common Multiple of 18596 and 18613?

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 18596 and 18613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18596 and 18613, than apply into the LCM equation.

GCF(18596,18613) = 1
LCM(18596,18613) = ( 18596 × 18613) / 1
LCM(18596,18613) = 346127348 / 1
LCM(18596,18613) = 346127348

Least Common Multiple (LCM) of 18596 and 18613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18596 and 18613. First we will calculate the prime factors of 18596 and 18613.

Prime Factorization of 18596

Prime Factorization of 18613

Now multiplying the highest exponent prime factors to calculate the LCM of 18596 and 18613.

LCM(18596,18613) = 2² × 4649¹ × 7¹ × 2659¹
LCM(18596,18613) = 346127348