What is the Least Common Multiple of 47284 and 47288?

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 47284 and 47288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47284 and 47288, than apply into the LCM equation.

GCF(47284,47288) = 4
LCM(47284,47288) = ( 47284 × 47288) / 4
LCM(47284,47288) = 2235965792 / 4
LCM(47284,47288) = 558991448

Least Common Multiple (LCM) of 47284 and 47288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47284 and 47288. First we will calculate the prime factors of 47284 and 47288.

Prime Factorization of 47284

Prime Factorization of 47288

Now multiplying the highest exponent prime factors to calculate the LCM of 47284 and 47288.

LCM(47284,47288) = 2³ × 11821¹ × 23¹ × 257¹
LCM(47284,47288) = 558991448