What is the Least Common Multiple of 15663 and 15681?

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 15663 and 15681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15663 and 15681, than apply into the LCM equation.

GCF(15663,15681) = 3
LCM(15663,15681) = ( 15663 × 15681) / 3
LCM(15663,15681) = 245611503 / 3
LCM(15663,15681) = 81870501

Least Common Multiple (LCM) of 15663 and 15681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15663 and 15681. First we will calculate the prime factors of 15663 and 15681.

Prime Factorization of 15663

Prime Factorization of 15681

Now multiplying the highest exponent prime factors to calculate the LCM of 15663 and 15681.

LCM(15663,15681) = 3¹ × 23¹ × 227¹ × 5227¹
LCM(15663,15681) = 81870501