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What is the Least Common Multiple of 18181 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 18181 and 18200 is 330894200.

LCM(18181,18200) = 330894200

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Least Common Multiple of 18181 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 18181 and 18200, than apply into the LCM equation.

GCF(18181,18200) = 1
LCM(18181,18200) = ( 18181 × 18200) / 1
LCM(18181,18200) = 330894200 / 1
LCM(18181,18200) = 330894200

Least Common Multiple (LCM) of 18181 and 18200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18181 and 18200. First we will calculate the prime factors of 18181 and 18200.

Prime Factorization of 18181

Prime factors of 18181 are 18181. Prime factorization of 18181 in exponential form is:

18181 = 181811

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 18181 and 18200.

LCM(18181,18200) = 181811 × 23 × 52 × 71 × 131
LCM(18181,18200) = 330894200