What is the Least Common Multiple of 25760 and 25774?

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 25760 and 25774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25760 and 25774, than apply into the LCM equation.

GCF(25760,25774) = 14
LCM(25760,25774) = ( 25760 × 25774) / 14
LCM(25760,25774) = 663938240 / 14
LCM(25760,25774) = 47424160

Least Common Multiple (LCM) of 25760 and 25774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25760 and 25774. First we will calculate the prime factors of 25760 and 25774.

Prime Factorization of 25760

Prime Factorization of 25774

Now multiplying the highest exponent prime factors to calculate the LCM of 25760 and 25774.

LCM(25760,25774) = 2⁵ × 5¹ × 7² × 23¹ × 263¹
LCM(25760,25774) = 47424160