What is the Least Common Multiple of 25632 and 25650?

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 25650 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 25650, than apply into the LCM equation.

GCF(25632,25650) = 18
LCM(25632,25650) = ( 25632 × 25650) / 18
LCM(25632,25650) = 657460800 / 18
LCM(25632,25650) = 36525600

Least Common Multiple (LCM) of 25632 and 25650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25632 and 25650. First we will calculate the prime factors of 25632 and 25650.

Prime Factorization of 25632

Prime Factorization of 25650

Now multiplying the highest exponent prime factors to calculate the LCM of 25632 and 25650.

LCM(25632,25650) = 2⁵ × 3³ × 89¹ × 5² × 19¹
LCM(25632,25650) = 36525600