What is the Least Common Multiple of 14417 and 14431?

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 14417 and 14431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14417 and 14431, than apply into the LCM equation.

GCF(14417,14431) = 1
LCM(14417,14431) = ( 14417 × 14431) / 1
LCM(14417,14431) = 208051727 / 1
LCM(14417,14431) = 208051727

Least Common Multiple (LCM) of 14417 and 14431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14417 and 14431. First we will calculate the prime factors of 14417 and 14431.

Prime Factorization of 14417

Prime Factorization of 14431

Now multiplying the highest exponent prime factors to calculate the LCM of 14417 and 14431.

LCM(14417,14431) = 13¹ × 1109¹ × 14431¹
LCM(14417,14431) = 208051727