What is the Least Common Multiple of 11772 and 11789?

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 11772 and 11789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11772 and 11789, than apply into the LCM equation.

GCF(11772,11789) = 1
LCM(11772,11789) = ( 11772 × 11789) / 1
LCM(11772,11789) = 138780108 / 1
LCM(11772,11789) = 138780108

Least Common Multiple (LCM) of 11772 and 11789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11772 and 11789. First we will calculate the prime factors of 11772 and 11789.

Prime Factorization of 11772

Prime Factorization of 11789

Now multiplying the highest exponent prime factors to calculate the LCM of 11772 and 11789.

LCM(11772,11789) = 2² × 3³ × 109¹ × 11789¹
LCM(11772,11789) = 138780108