What is the Least Common Multiple of 15396 and 15403?

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 15396 and 15403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15396 and 15403, than apply into the LCM equation.

GCF(15396,15403) = 1
LCM(15396,15403) = ( 15396 × 15403) / 1
LCM(15396,15403) = 237144588 / 1
LCM(15396,15403) = 237144588

Least Common Multiple (LCM) of 15396 and 15403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15396 and 15403. First we will calculate the prime factors of 15396 and 15403.

Prime Factorization of 15396

Prime Factorization of 15403

Now multiplying the highest exponent prime factors to calculate the LCM of 15396 and 15403.

LCM(15396,15403) = 2² × 3¹ × 1283¹ × 73¹ × 211¹
LCM(15396,15403) = 237144588