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What is the Least Common Multiple of 18006 and 18025?

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 18006 and 18025 is 324558150.

LCM(18006,18025) = 324558150

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Least Common Multiple of 18006 and 18025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18006 and 18025, than apply into the LCM equation.

GCF(18006,18025) = 1
LCM(18006,18025) = ( 18006 × 18025) / 1
LCM(18006,18025) = 324558150 / 1
LCM(18006,18025) = 324558150

Least Common Multiple (LCM) of 18006 and 18025 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18006 and 18025. First we will calculate the prime factors of 18006 and 18025.

Prime Factorization of 18006

Prime factors of 18006 are 2, 3, 3001. Prime factorization of 18006 in exponential form is:

18006 = 21 × 31 × 30011

Prime Factorization of 18025

Prime factors of 18025 are 5, 7, 103. Prime factorization of 18025 in exponential form is:

18025 = 52 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 18006 and 18025.

LCM(18006,18025) = 21 × 31 × 30011 × 52 × 71 × 1031
LCM(18006,18025) = 324558150