What is the Least Common Multiple of 25744 and 25756?

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 25744 and 25756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25744 and 25756, than apply into the LCM equation.

GCF(25744,25756) = 4
LCM(25744,25756) = ( 25744 × 25756) / 4
LCM(25744,25756) = 663062464 / 4
LCM(25744,25756) = 165765616

Least Common Multiple (LCM) of 25744 and 25756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25744 and 25756. First we will calculate the prime factors of 25744 and 25756.

Prime Factorization of 25744

Prime Factorization of 25756

Now multiplying the highest exponent prime factors to calculate the LCM of 25744 and 25756.

LCM(25744,25756) = 2⁴ × 1609¹ × 47¹ × 137¹
LCM(25744,25756) = 165765616