What is the Least Common Multiple of 11417 and 11431?

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 11417 and 11431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11417 and 11431, than apply into the LCM equation.

GCF(11417,11431) = 7
LCM(11417,11431) = ( 11417 × 11431) / 7
LCM(11417,11431) = 130507727 / 7
LCM(11417,11431) = 18643961

Least Common Multiple (LCM) of 11417 and 11431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11417 and 11431. First we will calculate the prime factors of 11417 and 11431.

Prime Factorization of 11417

Prime Factorization of 11431

Now multiplying the highest exponent prime factors to calculate the LCM of 11417 and 11431.

LCM(11417,11431) = 7² × 233¹ × 23¹ × 71¹
LCM(11417,11431) = 18643961