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What is the Least Common Multiple of 18041 and 18045?

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 18041 and 18045 is 325549845.

LCM(18041,18045) = 325549845

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Least Common Multiple of 18041 and 18045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18041 and 18045, than apply into the LCM equation.

GCF(18041,18045) = 1
LCM(18041,18045) = ( 18041 × 18045) / 1
LCM(18041,18045) = 325549845 / 1
LCM(18041,18045) = 325549845

Least Common Multiple (LCM) of 18041 and 18045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18041 and 18045. First we will calculate the prime factors of 18041 and 18045.

Prime Factorization of 18041

Prime factors of 18041 are 18041. Prime factorization of 18041 in exponential form is:

18041 = 180411

Prime Factorization of 18045

Prime factors of 18045 are 3, 5, 401. Prime factorization of 18045 in exponential form is:

18045 = 32 × 51 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 18041 and 18045.

LCM(18041,18045) = 180411 × 32 × 51 × 4011
LCM(18041,18045) = 325549845