What is the Least Common Multiple of 18828 and 18839?

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 18828 and 18839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18828 and 18839, than apply into the LCM equation.

GCF(18828,18839) = 1
LCM(18828,18839) = ( 18828 × 18839) / 1
LCM(18828,18839) = 354700692 / 1
LCM(18828,18839) = 354700692

Least Common Multiple (LCM) of 18828 and 18839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18828 and 18839. First we will calculate the prime factors of 18828 and 18839.

Prime Factorization of 18828

Prime Factorization of 18839

Now multiplying the highest exponent prime factors to calculate the LCM of 18828 and 18839.

LCM(18828,18839) = 2² × 3² × 523¹ × 18839¹
LCM(18828,18839) = 354700692