What is the Least Common Multiple of 11724 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 11724 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 11724 and 11742, than apply into the LCM equation.

GCF(11724,11742) = 6
LCM(11724,11742) = ( 11724 × 11742) / 6
LCM(11724,11742) = 137663208 / 6
LCM(11724,11742) = 22943868

Least Common Multiple (LCM) of 11724 and 11742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11724 and 11742. First we will calculate the prime factors of 11724 and 11742.

Prime Factorization of 11724

Prime Factorization of 11742

Now multiplying the highest exponent prime factors to calculate the LCM of 11724 and 11742.

LCM(11724,11742) = 2² × 3¹ × 977¹ × 19¹ × 103¹
LCM(11724,11742) = 22943868