What is the Least Common Multiple of 18390 and 18401?

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 18390 and 18401 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18390 and 18401, than apply into the LCM equation.

GCF(18390,18401) = 1
LCM(18390,18401) = ( 18390 × 18401) / 1
LCM(18390,18401) = 338394390 / 1
LCM(18390,18401) = 338394390

Least Common Multiple (LCM) of 18390 and 18401 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18390 and 18401. First we will calculate the prime factors of 18390 and 18401.

Prime Factorization of 18390

Prime Factorization of 18401

Now multiplying the highest exponent prime factors to calculate the LCM of 18390 and 18401.

LCM(18390,18401) = 2¹ × 3¹ × 5¹ × 613¹ × 18401¹
LCM(18390,18401) = 338394390