What is the Least Common Multiple of 18609 and 18626?

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 18609 and 18626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18609 and 18626, than apply into the LCM equation.

GCF(18609,18626) = 1
LCM(18609,18626) = ( 18609 × 18626) / 1
LCM(18609,18626) = 346611234 / 1
LCM(18609,18626) = 346611234

Least Common Multiple (LCM) of 18609 and 18626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18609 and 18626. First we will calculate the prime factors of 18609 and 18626.

Prime Factorization of 18609

Prime Factorization of 18626

Now multiplying the highest exponent prime factors to calculate the LCM of 18609 and 18626.

LCM(18609,18626) = 3¹ × 6203¹ × 2¹ × 67¹ × 139¹
LCM(18609,18626) = 346611234