What is the Least Common Multiple of 25744 and 25755?

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 25755 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 25755, than apply into the LCM equation.

GCF(25744,25755) = 1
LCM(25744,25755) = ( 25744 × 25755) / 1
LCM(25744,25755) = 663036720 / 1
LCM(25744,25755) = 663036720

Least Common Multiple (LCM) of 25744 and 25755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25744 and 25755. First we will calculate the prime factors of 25744 and 25755.

Prime Factorization of 25744

Prime Factorization of 25755

Now multiplying the highest exponent prime factors to calculate the LCM of 25744 and 25755.

LCM(25744,25755) = 2⁴ × 1609¹ × 3¹ × 5¹ × 17¹ × 101¹
LCM(25744,25755) = 663036720