What is the Least Common Multiple of 18800 and 18804?

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 18800 and 18804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18800 and 18804, than apply into the LCM equation.

GCF(18800,18804) = 4
LCM(18800,18804) = ( 18800 × 18804) / 4
LCM(18800,18804) = 353515200 / 4
LCM(18800,18804) = 88378800

Least Common Multiple (LCM) of 18800 and 18804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18800 and 18804. First we will calculate the prime factors of 18800 and 18804.

Prime Factorization of 18800

Prime Factorization of 18804

Now multiplying the highest exponent prime factors to calculate the LCM of 18800 and 18804.

LCM(18800,18804) = 2⁴ × 5² × 47¹ × 3¹ × 1567¹
LCM(18800,18804) = 88378800