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What is the Least Common Multiple of 18200 and 18204?

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 18200 and 18204 is 82828200.

LCM(18200,18204) = 82828200

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Least Common Multiple of 18200 and 18204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18200 and 18204, than apply into the LCM equation.

GCF(18200,18204) = 4
LCM(18200,18204) = ( 18200 × 18204) / 4
LCM(18200,18204) = 331312800 / 4
LCM(18200,18204) = 82828200

Least Common Multiple (LCM) of 18200 and 18204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18200 and 18204. First we will calculate the prime factors of 18200 and 18204.

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

Prime Factorization of 18204

Prime factors of 18204 are 2, 3, 37, 41. Prime factorization of 18204 in exponential form is:

18204 = 22 × 31 × 371 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18200 and 18204.

LCM(18200,18204) = 23 × 52 × 71 × 131 × 31 × 371 × 411
LCM(18200,18204) = 82828200