What is the Least Common Multiple of 34401 and 34418?

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 34401 and 34418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34401 and 34418, than apply into the LCM equation.

GCF(34401,34418) = 1
LCM(34401,34418) = ( 34401 × 34418) / 1
LCM(34401,34418) = 1184013618 / 1
LCM(34401,34418) = 1184013618

Least Common Multiple (LCM) of 34401 and 34418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34401 and 34418. First we will calculate the prime factors of 34401 and 34418.

Prime Factorization of 34401

Prime Factorization of 34418

Now multiplying the highest exponent prime factors to calculate the LCM of 34401 and 34418.

LCM(34401,34418) = 3¹ × 11467¹ × 2¹ × 17209¹
LCM(34401,34418) = 1184013618