What is the Least Common Multiple of 20796 and 20816?

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 20796 and 20816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20796 and 20816, than apply into the LCM equation.

GCF(20796,20816) = 4
LCM(20796,20816) = ( 20796 × 20816) / 4
LCM(20796,20816) = 432889536 / 4
LCM(20796,20816) = 108222384

Least Common Multiple (LCM) of 20796 and 20816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20796 and 20816. First we will calculate the prime factors of 20796 and 20816.

Prime Factorization of 20796

Prime Factorization of 20816

Now multiplying the highest exponent prime factors to calculate the LCM of 20796 and 20816.

LCM(20796,20816) = 2⁴ × 3¹ × 1733¹ × 1301¹
LCM(20796,20816) = 108222384