What is the Least Common Multiple of 20788 and 20796?

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 20788 and 20796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20788 and 20796, than apply into the LCM equation.

GCF(20788,20796) = 4
LCM(20788,20796) = ( 20788 × 20796) / 4
LCM(20788,20796) = 432307248 / 4
LCM(20788,20796) = 108076812

Least Common Multiple (LCM) of 20788 and 20796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20788 and 20796. First we will calculate the prime factors of 20788 and 20796.

Prime Factorization of 20788

Prime Factorization of 20796

Now multiplying the highest exponent prime factors to calculate the LCM of 20788 and 20796.

LCM(20788,20796) = 2² × 5197¹ × 3¹ × 1733¹
LCM(20788,20796) = 108076812