What is the Least Common Multiple of 25443 and 25461?

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 25443 and 25461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25443 and 25461, than apply into the LCM equation.

GCF(25443,25461) = 9
LCM(25443,25461) = ( 25443 × 25461) / 9
LCM(25443,25461) = 647804223 / 9
LCM(25443,25461) = 71978247

Least Common Multiple (LCM) of 25443 and 25461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25443 and 25461. First we will calculate the prime factors of 25443 and 25461.

Prime Factorization of 25443

Prime Factorization of 25461

Now multiplying the highest exponent prime factors to calculate the LCM of 25443 and 25461.

LCM(25443,25461) = 3³ × 11¹ × 257¹ × 23¹ × 41¹
LCM(25443,25461) = 71978247