What is the Least Common Multiple of 18417 and 18431?

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 18417 and 18431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18417 and 18431, than apply into the LCM equation.

GCF(18417,18431) = 7
LCM(18417,18431) = ( 18417 × 18431) / 7
LCM(18417,18431) = 339443727 / 7
LCM(18417,18431) = 48491961

Least Common Multiple (LCM) of 18417 and 18431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18417 and 18431. First we will calculate the prime factors of 18417 and 18431.

Prime Factorization of 18417

Prime Factorization of 18431

Now multiplying the highest exponent prime factors to calculate the LCM of 18417 and 18431.

LCM(18417,18431) = 3¹ × 7¹ × 877¹ × 2633¹
LCM(18417,18431) = 48491961