What is the Least Common Multiple of 11728 and 11742?

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 11728 and 11742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11728 and 11742, than apply into the LCM equation.

GCF(11728,11742) = 2
LCM(11728,11742) = ( 11728 × 11742) / 2
LCM(11728,11742) = 137710176 / 2
LCM(11728,11742) = 68855088

Least Common Multiple (LCM) of 11728 and 11742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11728 and 11742. First we will calculate the prime factors of 11728 and 11742.

Prime Factorization of 11728

Prime Factorization of 11742

Now multiplying the highest exponent prime factors to calculate the LCM of 11728 and 11742.

LCM(11728,11742) = 2⁴ × 733¹ × 3¹ × 19¹ × 103¹
LCM(11728,11742) = 68855088