What is the Least Common Multiple of 20772 and 20789?

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 20772 and 20789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20772 and 20789, than apply into the LCM equation.

GCF(20772,20789) = 1
LCM(20772,20789) = ( 20772 × 20789) / 1
LCM(20772,20789) = 431829108 / 1
LCM(20772,20789) = 431829108

Least Common Multiple (LCM) of 20772 and 20789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20772 and 20789. First we will calculate the prime factors of 20772 and 20789.

Prime Factorization of 20772

Prime Factorization of 20789

Now multiplying the highest exponent prime factors to calculate the LCM of 20772 and 20789.

LCM(20772,20789) = 2² × 3² × 577¹ × 20789¹
LCM(20772,20789) = 431829108