What is the Least Common Multiple of 15654 and 15671?

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 15654 and 15671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15654 and 15671, than apply into the LCM equation.

GCF(15654,15671) = 1
LCM(15654,15671) = ( 15654 × 15671) / 1
LCM(15654,15671) = 245313834 / 1
LCM(15654,15671) = 245313834

Least Common Multiple (LCM) of 15654 and 15671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15654 and 15671. First we will calculate the prime factors of 15654 and 15671.

Prime Factorization of 15654

Prime Factorization of 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 15654 and 15671.

LCM(15654,15671) = 2¹ × 3¹ × 2609¹ × 15671¹
LCM(15654,15671) = 245313834