What is the Least Common Multiple of 20791 and 20808?

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 20791 and 20808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20791 and 20808, than apply into the LCM equation.

GCF(20791,20808) = 17
LCM(20791,20808) = ( 20791 × 20808) / 17
LCM(20791,20808) = 432619128 / 17
LCM(20791,20808) = 25448184

Least Common Multiple (LCM) of 20791 and 20808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20791 and 20808. First we will calculate the prime factors of 20791 and 20808.

Prime Factorization of 20791

Prime Factorization of 20808

Now multiplying the highest exponent prime factors to calculate the LCM of 20791 and 20808.

LCM(20791,20808) = 17² × 1223¹ × 2³ × 3²
LCM(20791,20808) = 25448184