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What is the Least Common Multiple of 18002 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 18002 and 18022 is 162216022.

LCM(18002,18022) = 162216022

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Least Common Multiple of 18002 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 18002 and 18022, than apply into the LCM equation.

GCF(18002,18022) = 2
LCM(18002,18022) = ( 18002 × 18022) / 2
LCM(18002,18022) = 324432044 / 2
LCM(18002,18022) = 162216022

Least Common Multiple (LCM) of 18002 and 18022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18002 and 18022. First we will calculate the prime factors of 18002 and 18022.

Prime Factorization of 18002

Prime factors of 18002 are 2, 9001. Prime factorization of 18002 in exponential form is:

18002 = 21 × 90011

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 18002 and 18022.

LCM(18002,18022) = 21 × 90011 × 90111
LCM(18002,18022) = 162216022