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What is the Least Common Multiple of 18188 and 18206?

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 18188 and 18206 is 165565364.

LCM(18188,18206) = 165565364

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Least Common Multiple of 18188 and 18206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18188 and 18206, than apply into the LCM equation.

GCF(18188,18206) = 2
LCM(18188,18206) = ( 18188 × 18206) / 2
LCM(18188,18206) = 331130728 / 2
LCM(18188,18206) = 165565364

Least Common Multiple (LCM) of 18188 and 18206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18188 and 18206. First we will calculate the prime factors of 18188 and 18206.

Prime Factorization of 18188

Prime factors of 18188 are 2, 4547. Prime factorization of 18188 in exponential form is:

18188 = 22 × 45471

Prime Factorization of 18206

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

18206 = 21 × 91031

Now multiplying the highest exponent prime factors to calculate the LCM of 18188 and 18206.

LCM(18188,18206) = 22 × 45471 × 91031
LCM(18188,18206) = 165565364