What is the Least Common Multiple of 20844 and 20856?

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 20844 and 20856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20844 and 20856, than apply into the LCM equation.

GCF(20844,20856) = 12
LCM(20844,20856) = ( 20844 × 20856) / 12
LCM(20844,20856) = 434722464 / 12
LCM(20844,20856) = 36226872

Least Common Multiple (LCM) of 20844 and 20856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20844 and 20856. First we will calculate the prime factors of 20844 and 20856.

Prime Factorization of 20844

Prime Factorization of 20856

Now multiplying the highest exponent prime factors to calculate the LCM of 20844 and 20856.

LCM(20844,20856) = 2³ × 3³ × 193¹ × 11¹ × 79¹
LCM(20844,20856) = 36226872