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What is the Least Common Multiple of 18025 and 18044?

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 18025 and 18044 is 325243100.

LCM(18025,18044) = 325243100

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Least Common Multiple of 18025 and 18044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18025 and 18044, than apply into the LCM equation.

GCF(18025,18044) = 1
LCM(18025,18044) = ( 18025 × 18044) / 1
LCM(18025,18044) = 325243100 / 1
LCM(18025,18044) = 325243100

Least Common Multiple (LCM) of 18025 and 18044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18025 and 18044. First we will calculate the prime factors of 18025 and 18044.

Prime Factorization of 18025

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

18025 = 52 × 71 × 1031

Prime Factorization of 18044

Prime factors of 18044 are 2, 13, 347. Prime factorization of 18044 in exponential form is:

18044 = 22 × 131 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 18025 and 18044.

LCM(18025,18044) = 52 × 71 × 1031 × 22 × 131 × 3471
LCM(18025,18044) = 325243100