What is the Least Common Multiple of 47288 and 47292?

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 47288 and 47292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47288 and 47292, than apply into the LCM equation.

GCF(47288,47292) = 4
LCM(47288,47292) = ( 47288 × 47292) / 4
LCM(47288,47292) = 2236344096 / 4
LCM(47288,47292) = 559086024

Least Common Multiple (LCM) of 47288 and 47292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47288 and 47292. First we will calculate the prime factors of 47288 and 47292.

Prime Factorization of 47288

Prime Factorization of 47292

Now multiplying the highest exponent prime factors to calculate the LCM of 47288 and 47292.

LCM(47288,47292) = 2³ × 23¹ × 257¹ × 3¹ × 7¹ × 563¹
LCM(47288,47292) = 559086024