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What is the Least Common Multiple of 18182 and 18190?

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 18182 and 18190 is 165365290.

LCM(18182,18190) = 165365290

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Least Common Multiple of 18182 and 18190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18182 and 18190, than apply into the LCM equation.

GCF(18182,18190) = 2
LCM(18182,18190) = ( 18182 × 18190) / 2
LCM(18182,18190) = 330730580 / 2
LCM(18182,18190) = 165365290

Least Common Multiple (LCM) of 18182 and 18190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18182 and 18190. First we will calculate the prime factors of 18182 and 18190.

Prime Factorization of 18182

Prime factors of 18182 are 2, 9091. Prime factorization of 18182 in exponential form is:

18182 = 21 × 90911

Prime Factorization of 18190

Prime factors of 18190 are 2, 5, 17, 107. Prime factorization of 18190 in exponential form is:

18190 = 21 × 51 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 18182 and 18190.

LCM(18182,18190) = 21 × 90911 × 51 × 171 × 1071
LCM(18182,18190) = 165365290