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What is the Least Common Multiple of 18441 and 18449?

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 18441 and 18449 is 340218009.

LCM(18441,18449) = 340218009

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Least Common Multiple of 18441 and 18449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18441 and 18449, than apply into the LCM equation.

GCF(18441,18449) = 1
LCM(18441,18449) = ( 18441 × 18449) / 1
LCM(18441,18449) = 340218009 / 1
LCM(18441,18449) = 340218009

Least Common Multiple (LCM) of 18441 and 18449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18441 and 18449. First we will calculate the prime factors of 18441 and 18449.

Prime Factorization of 18441

Prime factors of 18441 are 3, 683. Prime factorization of 18441 in exponential form is:

18441 = 33 × 6831

Prime Factorization of 18449

Prime factors of 18449 are 19, 971. Prime factorization of 18449 in exponential form is:

18449 = 191 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 18441 and 18449.

LCM(18441,18449) = 33 × 6831 × 191 × 9711
LCM(18441,18449) = 340218009