What is the Least Common Multiple of 11724 and 11739?

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 11739 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 11739, than apply into the LCM equation.

GCF(11724,11739) = 3
LCM(11724,11739) = ( 11724 × 11739) / 3
LCM(11724,11739) = 137628036 / 3
LCM(11724,11739) = 45876012

Least Common Multiple (LCM) of 11724 and 11739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11724 and 11739. First we will calculate the prime factors of 11724 and 11739.

Prime Factorization of 11724

Prime Factorization of 11739

Now multiplying the highest exponent prime factors to calculate the LCM of 11724 and 11739.

LCM(11724,11739) = 2² × 3¹ × 977¹ × 7¹ × 13¹ × 43¹
LCM(11724,11739) = 45876012