What is the Least Common Multiple of 47268 and 47284?

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 47268 and 47284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47268 and 47284, than apply into the LCM equation.

GCF(47268,47284) = 4
LCM(47268,47284) = ( 47268 × 47284) / 4
LCM(47268,47284) = 2235020112 / 4
LCM(47268,47284) = 558755028

Least Common Multiple (LCM) of 47268 and 47284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47268 and 47284. First we will calculate the prime factors of 47268 and 47284.

Prime Factorization of 47268

Prime Factorization of 47284

Now multiplying the highest exponent prime factors to calculate the LCM of 47268 and 47284.

LCM(47268,47284) = 2² × 3² × 13¹ × 101¹ × 11821¹
LCM(47268,47284) = 558755028