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What is the Least Common Multiple of 18594 and 18605?

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 18594 and 18605 is 345941370.

LCM(18594,18605) = 345941370

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Least Common Multiple of 18594 and 18605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18594 and 18605, than apply into the LCM equation.

GCF(18594,18605) = 1
LCM(18594,18605) = ( 18594 × 18605) / 1
LCM(18594,18605) = 345941370 / 1
LCM(18594,18605) = 345941370

Least Common Multiple (LCM) of 18594 and 18605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18594 and 18605. First we will calculate the prime factors of 18594 and 18605.

Prime Factorization of 18594

Prime factors of 18594 are 2, 3, 1033. Prime factorization of 18594 in exponential form is:

18594 = 21 × 32 × 10331

Prime Factorization of 18605

Prime factors of 18605 are 5, 61. Prime factorization of 18605 in exponential form is:

18605 = 51 × 612

Now multiplying the highest exponent prime factors to calculate the LCM of 18594 and 18605.

LCM(18594,18605) = 21 × 32 × 10331 × 51 × 612
LCM(18594,18605) = 345941370