What is the Least Common Multiple of 21228 and 21248?

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 21228 and 21248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21228 and 21248, than apply into the LCM equation.

GCF(21228,21248) = 4
LCM(21228,21248) = ( 21228 × 21248) / 4
LCM(21228,21248) = 451052544 / 4
LCM(21228,21248) = 112763136

Least Common Multiple (LCM) of 21228 and 21248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21228 and 21248. First we will calculate the prime factors of 21228 and 21248.

Prime Factorization of 21228

Prime Factorization of 21248

Now multiplying the highest exponent prime factors to calculate the LCM of 21228 and 21248.

LCM(21228,21248) = 2⁸ × 3¹ × 29¹ × 61¹ × 83¹
LCM(21228,21248) = 112763136