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What is the Least Common Multiple of 18185 and 18200?

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 18185 and 18200 is 66193400.

LCM(18185,18200) = 66193400

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Least Common Multiple of 18185 and 18200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18185 and 18200, than apply into the LCM equation.

GCF(18185,18200) = 5
LCM(18185,18200) = ( 18185 × 18200) / 5
LCM(18185,18200) = 330967000 / 5
LCM(18185,18200) = 66193400

Least Common Multiple (LCM) of 18185 and 18200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18185 and 18200. First we will calculate the prime factors of 18185 and 18200.

Prime Factorization of 18185

Prime factors of 18185 are 5, 3637. Prime factorization of 18185 in exponential form is:

18185 = 51 × 36371

Prime Factorization of 18200

Prime factors of 18200 are 2, 5, 7, 13. Prime factorization of 18200 in exponential form is:

18200 = 23 × 52 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 18185 and 18200.

LCM(18185,18200) = 52 × 36371 × 23 × 71 × 131
LCM(18185,18200) = 66193400