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What is the Least Common Multiple of 18065 and 18081?

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 18065 and 18081 is 326633265.

LCM(18065,18081) = 326633265

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Least Common Multiple of 18065 and 18081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18065 and 18081, than apply into the LCM equation.

GCF(18065,18081) = 1
LCM(18065,18081) = ( 18065 × 18081) / 1
LCM(18065,18081) = 326633265 / 1
LCM(18065,18081) = 326633265

Least Common Multiple (LCM) of 18065 and 18081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18065 and 18081. First we will calculate the prime factors of 18065 and 18081.

Prime Factorization of 18065

Prime factors of 18065 are 5, 3613. Prime factorization of 18065 in exponential form is:

18065 = 51 × 36131

Prime Factorization of 18081

Prime factors of 18081 are 3, 7, 41. Prime factorization of 18081 in exponential form is:

18081 = 32 × 72 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 18065 and 18081.

LCM(18065,18081) = 51 × 36131 × 32 × 72 × 411
LCM(18065,18081) = 326633265