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What is the Least Common Multiple of 18737 and 18745?

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 18737 and 18745 is 351225065.

LCM(18737,18745) = 351225065

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Least Common Multiple of 18737 and 18745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18737 and 18745, than apply into the LCM equation.

GCF(18737,18745) = 1
LCM(18737,18745) = ( 18737 × 18745) / 1
LCM(18737,18745) = 351225065 / 1
LCM(18737,18745) = 351225065

Least Common Multiple (LCM) of 18737 and 18745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18737 and 18745. First we will calculate the prime factors of 18737 and 18745.

Prime Factorization of 18737

Prime factors of 18737 are 41, 457. Prime factorization of 18737 in exponential form is:

18737 = 411 × 4571

Prime Factorization of 18745

Prime factors of 18745 are 5, 23, 163. Prime factorization of 18745 in exponential form is:

18745 = 51 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 18737 and 18745.

LCM(18737,18745) = 411 × 4571 × 51 × 231 × 1631
LCM(18737,18745) = 351225065