What is the Least Common Multiple of 18213 and 18226?

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 18213 and 18226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18213 and 18226, than apply into the LCM equation.

GCF(18213,18226) = 13
LCM(18213,18226) = ( 18213 × 18226) / 13
LCM(18213,18226) = 331950138 / 13
LCM(18213,18226) = 25534626

Least Common Multiple (LCM) of 18213 and 18226 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18213 and 18226. First we will calculate the prime factors of 18213 and 18226.

Prime Factorization of 18213

Prime Factorization of 18226

Now multiplying the highest exponent prime factors to calculate the LCM of 18213 and 18226.

LCM(18213,18226) = 3¹ × 13¹ × 467¹ × 2¹ × 701¹
LCM(18213,18226) = 25534626