What is the Least Common Multiple of 20556 and 20576?

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 20556 and 20576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20556 and 20576, than apply into the LCM equation.

GCF(20556,20576) = 4
LCM(20556,20576) = ( 20556 × 20576) / 4
LCM(20556,20576) = 422960256 / 4
LCM(20556,20576) = 105740064

Least Common Multiple (LCM) of 20556 and 20576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20556 and 20576. First we will calculate the prime factors of 20556 and 20576.

Prime Factorization of 20556

Prime Factorization of 20576

Now multiplying the highest exponent prime factors to calculate the LCM of 20556 and 20576.

LCM(20556,20576) = 2⁵ × 3² × 571¹ × 643¹
LCM(20556,20576) = 105740064