What is the Least Common Multiple of 25904 and 25921?

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 25904 and 25921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25904 and 25921, than apply into the LCM equation.

GCF(25904,25921) = 1
LCM(25904,25921) = ( 25904 × 25921) / 1
LCM(25904,25921) = 671457584 / 1
LCM(25904,25921) = 671457584

Least Common Multiple (LCM) of 25904 and 25921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25904 and 25921. First we will calculate the prime factors of 25904 and 25921.

Prime Factorization of 25904

Prime Factorization of 25921

Now multiplying the highest exponent prime factors to calculate the LCM of 25904 and 25921.

LCM(25904,25921) = 2⁴ × 1619¹ × 7² × 23²
LCM(25904,25921) = 671457584