What is the Least Common Multiple of 18084 and 18100?

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 18084 and 18100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18084 and 18100, than apply into the LCM equation.

GCF(18084,18100) = 4
LCM(18084,18100) = ( 18084 × 18100) / 4
LCM(18084,18100) = 327320400 / 4
LCM(18084,18100) = 81830100

Least Common Multiple (LCM) of 18084 and 18100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18084 and 18100. First we will calculate the prime factors of 18084 and 18100.

Prime Factorization of 18084

Prime Factorization of 18100

Now multiplying the highest exponent prime factors to calculate the LCM of 18084 and 18100.

LCM(18084,18100) = 2² × 3¹ × 11¹ × 137¹ × 5² × 181¹
LCM(18084,18100) = 81830100