What is the Least Common Multiple of 15654 and 15669?

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 15669 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 15669, than apply into the LCM equation.

GCF(15654,15669) = 3
LCM(15654,15669) = ( 15654 × 15669) / 3
LCM(15654,15669) = 245282526 / 3
LCM(15654,15669) = 81760842

Least Common Multiple (LCM) of 15654 and 15669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15654 and 15669. First we will calculate the prime factors of 15654 and 15669.

Prime Factorization of 15654

Prime Factorization of 15669

Now multiplying the highest exponent prime factors to calculate the LCM of 15654 and 15669.

LCM(15654,15669) = 2¹ × 3² × 2609¹ × 1741¹
LCM(15654,15669) = 81760842