What is the Least Common Multiple of 15603 and 15617?

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 15603 and 15617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15603 and 15617, than apply into the LCM equation.

GCF(15603,15617) = 7
LCM(15603,15617) = ( 15603 × 15617) / 7
LCM(15603,15617) = 243672051 / 7
LCM(15603,15617) = 34810293

Least Common Multiple (LCM) of 15603 and 15617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15603 and 15617. First we will calculate the prime factors of 15603 and 15617.

Prime Factorization of 15603

Prime Factorization of 15617

Now multiplying the highest exponent prime factors to calculate the LCM of 15603 and 15617.

LCM(15603,15617) = 3¹ × 7¹ × 743¹ × 23¹ × 97¹
LCM(15603,15617) = 34810293