What is the Least Common Multiple of 25632 and 25640?

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 25640 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 25640, than apply into the LCM equation.

GCF(25632,25640) = 8
LCM(25632,25640) = ( 25632 × 25640) / 8
LCM(25632,25640) = 657204480 / 8
LCM(25632,25640) = 82150560

Least Common Multiple (LCM) of 25632 and 25640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25632 and 25640. First we will calculate the prime factors of 25632 and 25640.

Prime Factorization of 25632

Prime Factorization of 25640

Now multiplying the highest exponent prime factors to calculate the LCM of 25632 and 25640.

LCM(25632,25640) = 2⁵ × 3² × 89¹ × 5¹ × 641¹
LCM(25632,25640) = 82150560