What is the Least Common Multiple of 12603 and 12615?

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 12603 and 12615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12603 and 12615, than apply into the LCM equation.

GCF(12603,12615) = 3
LCM(12603,12615) = ( 12603 × 12615) / 3
LCM(12603,12615) = 158986845 / 3
LCM(12603,12615) = 52995615

Least Common Multiple (LCM) of 12603 and 12615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12603 and 12615. First we will calculate the prime factors of 12603 and 12615.

Prime Factorization of 12603

Prime Factorization of 12615

Now multiplying the highest exponent prime factors to calculate the LCM of 12603 and 12615.

LCM(12603,12615) = 3¹ × 4201¹ × 5¹ × 29²
LCM(12603,12615) = 52995615