What is the Least Common Multiple of 25328 and 25346?

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 25328 and 25346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25328 and 25346, than apply into the LCM equation.

GCF(25328,25346) = 2
LCM(25328,25346) = ( 25328 × 25346) / 2
LCM(25328,25346) = 641963488 / 2
LCM(25328,25346) = 320981744

Least Common Multiple (LCM) of 25328 and 25346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25328 and 25346. First we will calculate the prime factors of 25328 and 25346.

Prime Factorization of 25328

Prime Factorization of 25346

Now multiplying the highest exponent prime factors to calculate the LCM of 25328 and 25346.

LCM(25328,25346) = 2⁴ × 1583¹ × 19¹ × 23¹ × 29¹
LCM(25328,25346) = 320981744