What is the Least Common Multiple of 18603 and 18617?

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 18603 and 18617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18603 and 18617, than apply into the LCM equation.

GCF(18603,18617) = 1
LCM(18603,18617) = ( 18603 × 18617) / 1
LCM(18603,18617) = 346332051 / 1
LCM(18603,18617) = 346332051

Least Common Multiple (LCM) of 18603 and 18617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18603 and 18617. First we will calculate the prime factors of 18603 and 18617.

Prime Factorization of 18603

Prime Factorization of 18617

Now multiplying the highest exponent prime factors to calculate the LCM of 18603 and 18617.

LCM(18603,18617) = 3³ × 13¹ × 53¹ × 18617¹
LCM(18603,18617) = 346332051