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What is the Least Common Multiple of 18206 and 18210?

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 18206 and 18210 is 165765630.

LCM(18206,18210) = 165765630

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Least Common Multiple of 18206 and 18210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18206 and 18210, than apply into the LCM equation.

GCF(18206,18210) = 2
LCM(18206,18210) = ( 18206 × 18210) / 2
LCM(18206,18210) = 331531260 / 2
LCM(18206,18210) = 165765630

Least Common Multiple (LCM) of 18206 and 18210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18206 and 18210. First we will calculate the prime factors of 18206 and 18210.

Prime Factorization of 18206

Prime factors of 18206 are 2, 9103. Prime factorization of 18206 in exponential form is:

18206 = 21 × 91031

Prime Factorization of 18210

Prime factors of 18210 are 2, 3, 5, 607. Prime factorization of 18210 in exponential form is:

18210 = 21 × 31 × 51 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 18206 and 18210.

LCM(18206,18210) = 21 × 91031 × 31 × 51 × 6071
LCM(18206,18210) = 165765630