What is the Least Common Multiple of 47404 and 47418?

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 47404 and 47418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47404 and 47418, than apply into the LCM equation.

GCF(47404,47418) = 14
LCM(47404,47418) = ( 47404 × 47418) / 14
LCM(47404,47418) = 2247802872 / 14
LCM(47404,47418) = 160557348

Least Common Multiple (LCM) of 47404 and 47418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47404 and 47418. First we will calculate the prime factors of 47404 and 47418.

Prime Factorization of 47404

Prime Factorization of 47418

Now multiplying the highest exponent prime factors to calculate the LCM of 47404 and 47418.

LCM(47404,47418) = 2² × 7¹ × 1693¹ × 3¹ × 1129¹
LCM(47404,47418) = 160557348