What is the Least Common Multiple of 31431 and 31441?

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 31431 and 31441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31431 and 31441, than apply into the LCM equation.

GCF(31431,31441) = 1
LCM(31431,31441) = ( 31431 × 31441) / 1
LCM(31431,31441) = 988222071 / 1
LCM(31431,31441) = 988222071

Least Common Multiple (LCM) of 31431 and 31441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31431 and 31441. First we will calculate the prime factors of 31431 and 31441.

Prime Factorization of 31431

Prime Factorization of 31441

Now multiplying the highest exponent prime factors to calculate the LCM of 31431 and 31441.

LCM(31431,31441) = 3¹ × 10477¹ × 23¹ × 1367¹
LCM(31431,31441) = 988222071