What is the Least Common Multiple of 25749 and 25760?

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 25749 and 25760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25749 and 25760, than apply into the LCM equation.

GCF(25749,25760) = 1
LCM(25749,25760) = ( 25749 × 25760) / 1
LCM(25749,25760) = 663294240 / 1
LCM(25749,25760) = 663294240

Least Common Multiple (LCM) of 25749 and 25760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25749 and 25760. First we will calculate the prime factors of 25749 and 25760.

Prime Factorization of 25749

Prime Factorization of 25760

Now multiplying the highest exponent prime factors to calculate the LCM of 25749 and 25760.

LCM(25749,25760) = 3² × 2861¹ × 2⁵ × 5¹ × 7¹ × 23¹
LCM(25749,25760) = 663294240