What is the Least Common Multiple of 25644 and 25653?

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 25644 and 25653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25644 and 25653, than apply into the LCM equation.

GCF(25644,25653) = 3
LCM(25644,25653) = ( 25644 × 25653) / 3
LCM(25644,25653) = 657845532 / 3
LCM(25644,25653) = 219281844

Least Common Multiple (LCM) of 25644 and 25653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25644 and 25653. First we will calculate the prime factors of 25644 and 25653.

Prime Factorization of 25644

Prime Factorization of 25653

Now multiplying the highest exponent prime factors to calculate the LCM of 25644 and 25653.

LCM(25644,25653) = 2² × 3¹ × 2137¹ × 17¹ × 503¹
LCM(25644,25653) = 219281844