What is the Least Common Multiple of 25431 and 25441?

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 25431 and 25441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25431 and 25441, than apply into the LCM equation.

GCF(25431,25441) = 1
LCM(25431,25441) = ( 25431 × 25441) / 1
LCM(25431,25441) = 646990071 / 1
LCM(25431,25441) = 646990071

Least Common Multiple (LCM) of 25431 and 25441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25431 and 25441. First we will calculate the prime factors of 25431 and 25441.

Prime Factorization of 25431

Prime Factorization of 25441

Now multiplying the highest exponent prime factors to calculate the LCM of 25431 and 25441.

LCM(25431,25441) = 3¹ × 7² × 173¹ × 13¹ × 19¹ × 103¹
LCM(25431,25441) = 646990071