What is the Least Common Multiple of 2284 and 2292?

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 2284 and 2292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2284 and 2292, than apply into the LCM equation.

GCF(2284,2292) = 4
LCM(2284,2292) = ( 2284 × 2292) / 4
LCM(2284,2292) = 5234928 / 4
LCM(2284,2292) = 1308732

Least Common Multiple (LCM) of 2284 and 2292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2284 and 2292. First we will calculate the prime factors of 2284 and 2292.

Prime Factorization of 2284

Prime Factorization of 2292

Now multiplying the highest exponent prime factors to calculate the LCM of 2284 and 2292.

LCM(2284,2292) = 2² × 571¹ × 3¹ × 191¹
LCM(2284,2292) = 1308732