What is the Least Common Multiple of 15345 and 15363?

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 15345 and 15363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15345 and 15363, than apply into the LCM equation.

GCF(15345,15363) = 9
LCM(15345,15363) = ( 15345 × 15363) / 9
LCM(15345,15363) = 235745235 / 9
LCM(15345,15363) = 26193915

Least Common Multiple (LCM) of 15345 and 15363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15345 and 15363. First we will calculate the prime factors of 15345 and 15363.

Prime Factorization of 15345

Prime Factorization of 15363

Now multiplying the highest exponent prime factors to calculate the LCM of 15345 and 15363.

LCM(15345,15363) = 3³ × 5¹ × 11¹ × 31¹ × 569¹
LCM(15345,15363) = 26193915