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What is the Least Common Multiple of 18005 and 18022?

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 18005 and 18022 is 324486110.

LCM(18005,18022) = 324486110

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Least Common Multiple of 18005 and 18022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18005 and 18022, than apply into the LCM equation.

GCF(18005,18022) = 1
LCM(18005,18022) = ( 18005 × 18022) / 1
LCM(18005,18022) = 324486110 / 1
LCM(18005,18022) = 324486110

Least Common Multiple (LCM) of 18005 and 18022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18005 and 18022. First we will calculate the prime factors of 18005 and 18022.

Prime Factorization of 18005

Prime factors of 18005 are 5, 13, 277. Prime factorization of 18005 in exponential form is:

18005 = 51 × 131 × 2771

Prime Factorization of 18022

Prime factors of 18022 are 2, 9011. Prime factorization of 18022 in exponential form is:

18022 = 21 × 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 18005 and 18022.

LCM(18005,18022) = 51 × 131 × 2771 × 21 × 90111
LCM(18005,18022) = 324486110