What is the Least Common Multiple of 25309 and 25328?

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 25309 and 25328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25309 and 25328, than apply into the LCM equation.

GCF(25309,25328) = 1
LCM(25309,25328) = ( 25309 × 25328) / 1
LCM(25309,25328) = 641026352 / 1
LCM(25309,25328) = 641026352

Least Common Multiple (LCM) of 25309 and 25328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25309 and 25328. First we will calculate the prime factors of 25309 and 25328.

Prime Factorization of 25309

Prime Factorization of 25328

Now multiplying the highest exponent prime factors to calculate the LCM of 25309 and 25328.

LCM(25309,25328) = 25309¹ × 2⁴ × 1583¹
LCM(25309,25328) = 641026352