What is the Least Common Multiple of 11431 and 11447?

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 11431 and 11447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11431 and 11447, than apply into the LCM equation.

GCF(11431,11447) = 1
LCM(11431,11447) = ( 11431 × 11447) / 1
LCM(11431,11447) = 130850657 / 1
LCM(11431,11447) = 130850657

Least Common Multiple (LCM) of 11431 and 11447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11431 and 11447. First we will calculate the prime factors of 11431 and 11447.

Prime Factorization of 11431

Prime Factorization of 11447

Now multiplying the highest exponent prime factors to calculate the LCM of 11431 and 11447.

LCM(11431,11447) = 7¹ × 23¹ × 71¹ × 11447¹
LCM(11431,11447) = 130850657