What is the Least Common Multiple of 20816 and 20834?

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 20816 and 20834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20816 and 20834, than apply into the LCM equation.

GCF(20816,20834) = 2
LCM(20816,20834) = ( 20816 × 20834) / 2
LCM(20816,20834) = 433680544 / 2
LCM(20816,20834) = 216840272

Least Common Multiple (LCM) of 20816 and 20834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20816 and 20834. First we will calculate the prime factors of 20816 and 20834.

Prime Factorization of 20816

Prime Factorization of 20834

Now multiplying the highest exponent prime factors to calculate the LCM of 20816 and 20834.

LCM(20816,20834) = 2⁴ × 1301¹ × 11¹ × 947¹
LCM(20816,20834) = 216840272