What is the Least Common Multiple of 25632 and 25638?

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 25632 and 25638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25632 and 25638, than apply into the LCM equation.

GCF(25632,25638) = 6
LCM(25632,25638) = ( 25632 × 25638) / 6
LCM(25632,25638) = 657153216 / 6
LCM(25632,25638) = 109525536

Least Common Multiple (LCM) of 25632 and 25638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25632 and 25638. First we will calculate the prime factors of 25632 and 25638.

Prime Factorization of 25632

Prime Factorization of 25638

Now multiplying the highest exponent prime factors to calculate the LCM of 25632 and 25638.

LCM(25632,25638) = 2⁵ × 3² × 89¹ × 4273¹
LCM(25632,25638) = 109525536