What is the Least Common Multiple of 25628 and 25632?

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 25628 and 25632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25628 and 25632, than apply into the LCM equation.

GCF(25628,25632) = 4
LCM(25628,25632) = ( 25628 × 25632) / 4
LCM(25628,25632) = 656896896 / 4
LCM(25628,25632) = 164224224

Least Common Multiple (LCM) of 25628 and 25632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25628 and 25632. First we will calculate the prime factors of 25628 and 25632.

Prime Factorization of 25628

Prime Factorization of 25632

Now multiplying the highest exponent prime factors to calculate the LCM of 25628 and 25632.

LCM(25628,25632) = 2⁵ × 43¹ × 149¹ × 3² × 89¹
LCM(25628,25632) = 164224224