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What is the Least Common Multiple of 18723 and 18743?

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 18723 and 18743 is 350925189.

LCM(18723,18743) = 350925189

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Least Common Multiple of 18723 and 18743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18723 and 18743, than apply into the LCM equation.

GCF(18723,18743) = 1
LCM(18723,18743) = ( 18723 × 18743) / 1
LCM(18723,18743) = 350925189 / 1
LCM(18723,18743) = 350925189

Least Common Multiple (LCM) of 18723 and 18743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18723 and 18743. First we will calculate the prime factors of 18723 and 18743.

Prime Factorization of 18723

Prime factors of 18723 are 3, 79. Prime factorization of 18723 in exponential form is:

18723 = 31 × 792

Prime Factorization of 18743

Prime factors of 18743 are 18743. Prime factorization of 18743 in exponential form is:

18743 = 187431

Now multiplying the highest exponent prime factors to calculate the LCM of 18723 and 18743.

LCM(18723,18743) = 31 × 792 × 187431
LCM(18723,18743) = 350925189