What is the Least Common Multiple of 21128 and 21144?

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 21128 and 21144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21128 and 21144, than apply into the LCM equation.

GCF(21128,21144) = 8
LCM(21128,21144) = ( 21128 × 21144) / 8
LCM(21128,21144) = 446730432 / 8
LCM(21128,21144) = 55841304

Least Common Multiple (LCM) of 21128 and 21144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21128 and 21144. First we will calculate the prime factors of 21128 and 21144.

Prime Factorization of 21128

Prime Factorization of 21144

Now multiplying the highest exponent prime factors to calculate the LCM of 21128 and 21144.

LCM(21128,21144) = 2³ × 19¹ × 139¹ × 3¹ × 881¹
LCM(21128,21144) = 55841304