What is the Least Common Multiple of 25568 and 25580?

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 25568 and 25580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25568 and 25580, than apply into the LCM equation.

GCF(25568,25580) = 4
LCM(25568,25580) = ( 25568 × 25580) / 4
LCM(25568,25580) = 654029440 / 4
LCM(25568,25580) = 163507360

Least Common Multiple (LCM) of 25568 and 25580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25568 and 25580. First we will calculate the prime factors of 25568 and 25580.

Prime Factorization of 25568

Prime Factorization of 25580

Now multiplying the highest exponent prime factors to calculate the LCM of 25568 and 25580.

LCM(25568,25580) = 2⁵ × 17¹ × 47¹ × 5¹ × 1279¹
LCM(25568,25580) = 163507360