What is the Least Common Multiple of 25792 and 25805?

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 25792 and 25805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25792 and 25805, than apply into the LCM equation.

GCF(25792,25805) = 13
LCM(25792,25805) = ( 25792 × 25805) / 13
LCM(25792,25805) = 665562560 / 13
LCM(25792,25805) = 51197120

Least Common Multiple (LCM) of 25792 and 25805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25792 and 25805. First we will calculate the prime factors of 25792 and 25805.

Prime Factorization of 25792

Prime Factorization of 25805

Now multiplying the highest exponent prime factors to calculate the LCM of 25792 and 25805.

LCM(25792,25805) = 2⁶ × 13¹ × 31¹ × 5¹ × 397¹
LCM(25792,25805) = 51197120