What is the Least Common Multiple of 18407 and 18421?

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 18407 and 18421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18407 and 18421, than apply into the LCM equation.

GCF(18407,18421) = 1
LCM(18407,18421) = ( 18407 × 18421) / 1
LCM(18407,18421) = 339075347 / 1
LCM(18407,18421) = 339075347

Least Common Multiple (LCM) of 18407 and 18421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18407 and 18421. First we will calculate the prime factors of 18407 and 18421.

Prime Factorization of 18407

Prime Factorization of 18421

Now multiplying the highest exponent prime factors to calculate the LCM of 18407 and 18421.

LCM(18407,18421) = 79¹ × 233¹ × 13² × 109¹
LCM(18407,18421) = 339075347