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What is the Least Common Multiple of 18133 and 18143?

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 18133 and 18143 is 328987019.

LCM(18133,18143) = 328987019

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Least Common Multiple of 18133 and 18143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18133 and 18143, than apply into the LCM equation.

GCF(18133,18143) = 1
LCM(18133,18143) = ( 18133 × 18143) / 1
LCM(18133,18143) = 328987019 / 1
LCM(18133,18143) = 328987019

Least Common Multiple (LCM) of 18133 and 18143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18133 and 18143. First we will calculate the prime factors of 18133 and 18143.

Prime Factorization of 18133

Prime factors of 18133 are 18133. Prime factorization of 18133 in exponential form is:

18133 = 181331

Prime Factorization of 18143

Prime factors of 18143 are 18143. Prime factorization of 18143 in exponential form is:

18143 = 181431

Now multiplying the highest exponent prime factors to calculate the LCM of 18133 and 18143.

LCM(18133,18143) = 181331 × 181431
LCM(18133,18143) = 328987019