What is the Least Common Multiple of 21284 and 21298?

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 21298 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 21298, than apply into the LCM equation.

GCF(21284,21298) = 2
LCM(21284,21298) = ( 21284 × 21298) / 2
LCM(21284,21298) = 453306632 / 2
LCM(21284,21298) = 226653316

Least Common Multiple (LCM) of 21284 and 21298 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21284 and 21298. First we will calculate the prime factors of 21284 and 21298.

Prime Factorization of 21284

Prime Factorization of 21298

Now multiplying the highest exponent prime factors to calculate the LCM of 21284 and 21298.

LCM(21284,21298) = 2² × 17¹ × 313¹ × 23¹ × 463¹
LCM(21284,21298) = 226653316