What is the Least Common Multiple of 21278 and 21284?

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 21278 and 21284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21278 and 21284, than apply into the LCM equation.

GCF(21278,21284) = 2
LCM(21278,21284) = ( 21278 × 21284) / 2
LCM(21278,21284) = 452880952 / 2
LCM(21278,21284) = 226440476

Least Common Multiple (LCM) of 21278 and 21284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21278 and 21284. First we will calculate the prime factors of 21278 and 21284.

Prime Factorization of 21278

Prime Factorization of 21284

Now multiplying the highest exponent prime factors to calculate the LCM of 21278 and 21284.

LCM(21278,21284) = 2² × 10639¹ × 17¹ × 313¹
LCM(21278,21284) = 226440476