What is the Least Common Multiple of 21284 and 21288?

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 21284 and 21288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21284 and 21288, than apply into the LCM equation.

GCF(21284,21288) = 4
LCM(21284,21288) = ( 21284 × 21288) / 4
LCM(21284,21288) = 453093792 / 4
LCM(21284,21288) = 113273448

Least Common Multiple (LCM) of 21284 and 21288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21284 and 21288. First we will calculate the prime factors of 21284 and 21288.

Prime Factorization of 21284

Prime Factorization of 21288

Now multiplying the highest exponent prime factors to calculate the LCM of 21284 and 21288.

LCM(21284,21288) = 2³ × 17¹ × 313¹ × 3¹ × 887¹
LCM(21284,21288) = 113273448