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What is the Least Common Multiple of 18424 and 18441?

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 18424 and 18441 is 339756984.

LCM(18424,18441) = 339756984

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Least Common Multiple of 18424 and 18441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18424 and 18441, than apply into the LCM equation.

GCF(18424,18441) = 1
LCM(18424,18441) = ( 18424 × 18441) / 1
LCM(18424,18441) = 339756984 / 1
LCM(18424,18441) = 339756984

Least Common Multiple (LCM) of 18424 and 18441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18424 and 18441. First we will calculate the prime factors of 18424 and 18441.

Prime Factorization of 18424

Prime factors of 18424 are 2, 7, 47. Prime factorization of 18424 in exponential form is:

18424 = 23 × 72 × 471

Prime Factorization of 18441

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

18441 = 33 × 6831

Now multiplying the highest exponent prime factors to calculate the LCM of 18424 and 18441.

LCM(18424,18441) = 23 × 72 × 471 × 33 × 6831
LCM(18424,18441) = 339756984