What is the Least Common Multiple of 25647 and 25659?

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 25647 and 25659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25647 and 25659, than apply into the LCM equation.

GCF(25647,25659) = 3
LCM(25647,25659) = ( 25647 × 25659) / 3
LCM(25647,25659) = 658076373 / 3
LCM(25647,25659) = 219358791

Least Common Multiple (LCM) of 25647 and 25659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25647 and 25659. First we will calculate the prime factors of 25647 and 25659.

Prime Factorization of 25647

Prime Factorization of 25659

Now multiplying the highest exponent prime factors to calculate the LCM of 25647 and 25659.

LCM(25647,25659) = 3² × 83¹ × 103¹ × 2851¹
LCM(25647,25659) = 219358791