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What is the Least Common Multiple of 67383 and 67391?

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 67383 and 67391 is 4541007753.

LCM(67383,67391) = 4541007753

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Least Common Multiple of 67383 and 67391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67383 and 67391, than apply into the LCM equation.

GCF(67383,67391) = 1
LCM(67383,67391) = ( 67383 × 67391) / 1
LCM(67383,67391) = 4541007753 / 1
LCM(67383,67391) = 4541007753

Least Common Multiple (LCM) of 67383 and 67391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67383 and 67391. First we will calculate the prime factors of 67383 and 67391.

Prime Factorization of 67383

Prime factors of 67383 are 3, 7487. Prime factorization of 67383 in exponential form is:

67383 = 32 × 74871

Prime Factorization of 67391

Prime factors of 67391 are 67391. Prime factorization of 67391 in exponential form is:

67391 = 673911

Now multiplying the highest exponent prime factors to calculate the LCM of 67383 and 67391.

LCM(67383,67391) = 32 × 74871 × 673911
LCM(67383,67391) = 4541007753