What is the Least Common Multiple of 18603 and 18616?

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 18616 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 18616, than apply into the LCM equation.

GCF(18603,18616) = 13
LCM(18603,18616) = ( 18603 × 18616) / 13
LCM(18603,18616) = 346313448 / 13
LCM(18603,18616) = 26639496

Least Common Multiple (LCM) of 18603 and 18616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18603 and 18616. First we will calculate the prime factors of 18603 and 18616.

Prime Factorization of 18603

Prime Factorization of 18616

Now multiplying the highest exponent prime factors to calculate the LCM of 18603 and 18616.

LCM(18603,18616) = 3³ × 13¹ × 53¹ × 2³ × 179¹
LCM(18603,18616) = 26639496