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What is the Least Common Multiple of 18093 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 (LCM) of 18093 and 18100 is 327483300.

LCM(18093,18100) = 327483300

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Least Common Multiple of 18093 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 18093 and 18100, than apply into the LCM equation.

GCF(18093,18100) = 1
LCM(18093,18100) = ( 18093 × 18100) / 1
LCM(18093,18100) = 327483300 / 1
LCM(18093,18100) = 327483300

Least Common Multiple (LCM) of 18093 and 18100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18093 and 18100. First we will calculate the prime factors of 18093 and 18100.

Prime Factorization of 18093

Prime factors of 18093 are 3, 37, 163. Prime factorization of 18093 in exponential form is:

18093 = 31 × 371 × 1631

Prime Factorization of 18100

Prime factors of 18100 are 2, 5, 181. Prime factorization of 18100 in exponential form is:

18100 = 22 × 52 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 18093 and 18100.

LCM(18093,18100) = 31 × 371 × 1631 × 22 × 52 × 1811
LCM(18093,18100) = 327483300