What is the Least Common Multiple of 25774 and 25792?

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 25774 and 25792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25774 and 25792, than apply into the LCM equation.

GCF(25774,25792) = 2
LCM(25774,25792) = ( 25774 × 25792) / 2
LCM(25774,25792) = 664763008 / 2
LCM(25774,25792) = 332381504

Least Common Multiple (LCM) of 25774 and 25792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25774 and 25792. First we will calculate the prime factors of 25774 and 25792.

Prime Factorization of 25774

Prime Factorization of 25792

Now multiplying the highest exponent prime factors to calculate the LCM of 25774 and 25792.

LCM(25774,25792) = 2⁶ × 7² × 263¹ × 13¹ × 31¹
LCM(25774,25792) = 332381504