What is the Least Common Multiple of 18814 and 18829?

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 18814 and 18829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18814 and 18829, than apply into the LCM equation.

GCF(18814,18829) = 1
LCM(18814,18829) = ( 18814 × 18829) / 1
LCM(18814,18829) = 354248806 / 1
LCM(18814,18829) = 354248806

Least Common Multiple (LCM) of 18814 and 18829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18814 and 18829. First we will calculate the prime factors of 18814 and 18829.

Prime Factorization of 18814

Prime Factorization of 18829

Now multiplying the highest exponent prime factors to calculate the LCM of 18814 and 18829.

LCM(18814,18829) = 2¹ × 23¹ × 409¹ × 19¹ × 991¹
LCM(18814,18829) = 354248806