What is the Least Common Multiple of 5404 and 5418?

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 5404 and 5418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5404 and 5418, than apply into the LCM equation.

GCF(5404,5418) = 14
LCM(5404,5418) = ( 5404 × 5418) / 14
LCM(5404,5418) = 29278872 / 14
LCM(5404,5418) = 2091348

Least Common Multiple (LCM) of 5404 and 5418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5404 and 5418. First we will calculate the prime factors of 5404 and 5418.

Prime Factorization of 5404

Prime Factorization of 5418

Now multiplying the highest exponent prime factors to calculate the LCM of 5404 and 5418.

LCM(5404,5418) = 2² × 7¹ × 193¹ × 3² × 43¹
LCM(5404,5418) = 2091348