What is the Least Common Multiple of 25647 and 25663?

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 25663 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 25663, than apply into the LCM equation.

GCF(25647,25663) = 1
LCM(25647,25663) = ( 25647 × 25663) / 1
LCM(25647,25663) = 658178961 / 1
LCM(25647,25663) = 658178961

Least Common Multiple (LCM) of 25647 and 25663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25647 and 25663. First we will calculate the prime factors of 25647 and 25663.

Prime Factorization of 25647

Prime Factorization of 25663

Now multiplying the highest exponent prime factors to calculate the LCM of 25647 and 25663.

LCM(25647,25663) = 3¹ × 83¹ × 103¹ × 11¹ × 2333¹
LCM(25647,25663) = 658178961