What is the Least Common Multiple of 11730 and 11745?

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 11730 and 11745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11730 and 11745, than apply into the LCM equation.

GCF(11730,11745) = 15
LCM(11730,11745) = ( 11730 × 11745) / 15
LCM(11730,11745) = 137768850 / 15
LCM(11730,11745) = 9184590

Least Common Multiple (LCM) of 11730 and 11745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11730 and 11745. First we will calculate the prime factors of 11730 and 11745.

Prime Factorization of 11730

Prime Factorization of 11745

Now multiplying the highest exponent prime factors to calculate the LCM of 11730 and 11745.

LCM(11730,11745) = 2¹ × 3⁴ × 5¹ × 17¹ × 23¹ × 29¹
LCM(11730,11745) = 9184590