What is the Least Common Multiple of 18804 and 18814?

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 18804 and 18814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18804 and 18814, than apply into the LCM equation.

GCF(18804,18814) = 2
LCM(18804,18814) = ( 18804 × 18814) / 2
LCM(18804,18814) = 353778456 / 2
LCM(18804,18814) = 176889228

Least Common Multiple (LCM) of 18804 and 18814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18804 and 18814. First we will calculate the prime factors of 18804 and 18814.

Prime Factorization of 18804

Prime Factorization of 18814

Now multiplying the highest exponent prime factors to calculate the LCM of 18804 and 18814.

LCM(18804,18814) = 2² × 3¹ × 1567¹ × 23¹ × 409¹
LCM(18804,18814) = 176889228