What is the Least Common Multiple of 18829 and 18843?

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 18829 and 18843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18829 and 18843, than apply into the LCM equation.

GCF(18829,18843) = 1
LCM(18829,18843) = ( 18829 × 18843) / 1
LCM(18829,18843) = 354794847 / 1
LCM(18829,18843) = 354794847

Least Common Multiple (LCM) of 18829 and 18843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18829 and 18843. First we will calculate the prime factors of 18829 and 18843.

Prime Factorization of 18829

Prime Factorization of 18843

Now multiplying the highest exponent prime factors to calculate the LCM of 18829 and 18843.

LCM(18829,18843) = 19¹ × 991¹ × 3¹ × 11¹ × 571¹
LCM(18829,18843) = 354794847