What is the Least Common Multiple of 11814 and 11829?

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 11814 and 11829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11814 and 11829, than apply into the LCM equation.

GCF(11814,11829) = 3
LCM(11814,11829) = ( 11814 × 11829) / 3
LCM(11814,11829) = 139747806 / 3
LCM(11814,11829) = 46582602

Least Common Multiple (LCM) of 11814 and 11829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11814 and 11829. First we will calculate the prime factors of 11814 and 11829.

Prime Factorization of 11814

Prime Factorization of 11829

Now multiplying the highest exponent prime factors to calculate the LCM of 11814 and 11829.

LCM(11814,11829) = 2¹ × 3¹ × 11¹ × 179¹ × 3943¹
LCM(11814,11829) = 46582602