What is the Least Common Multiple of 20824 and 20836?

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 20824 and 20836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20824 and 20836, than apply into the LCM equation.

GCF(20824,20836) = 4
LCM(20824,20836) = ( 20824 × 20836) / 4
LCM(20824,20836) = 433888864 / 4
LCM(20824,20836) = 108472216

Least Common Multiple (LCM) of 20824 and 20836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20824 and 20836. First we will calculate the prime factors of 20824 and 20836.

Prime Factorization of 20824

Prime Factorization of 20836

Now multiplying the highest exponent prime factors to calculate the LCM of 20824 and 20836.

LCM(20824,20836) = 2³ × 19¹ × 137¹ × 5209¹
LCM(20824,20836) = 108472216