What is the Least Common Multiple of 20896 and 20912?

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 20896 and 20912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20896 and 20912, than apply into the LCM equation.

GCF(20896,20912) = 16
LCM(20896,20912) = ( 20896 × 20912) / 16
LCM(20896,20912) = 436977152 / 16
LCM(20896,20912) = 27311072

Least Common Multiple (LCM) of 20896 and 20912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20896 and 20912. First we will calculate the prime factors of 20896 and 20912.

Prime Factorization of 20896

Prime Factorization of 20912

Now multiplying the highest exponent prime factors to calculate the LCM of 20896 and 20912.

LCM(20896,20912) = 2⁵ × 653¹ × 1307¹
LCM(20896,20912) = 27311072