What is the Least Common Multiple of 25474 and 25491?

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 25474 and 25491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25474 and 25491, than apply into the LCM equation.

GCF(25474,25491) = 1
LCM(25474,25491) = ( 25474 × 25491) / 1
LCM(25474,25491) = 649357734 / 1
LCM(25474,25491) = 649357734

Least Common Multiple (LCM) of 25474 and 25491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25474 and 25491. First we will calculate the prime factors of 25474 and 25491.

Prime Factorization of 25474

Prime Factorization of 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 25474 and 25491.

LCM(25474,25491) = 2¹ × 47¹ × 271¹ × 3¹ × 29¹ × 293¹
LCM(25474,25491) = 649357734