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What is the Least Common Multiple of 63383 and 63391?

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 63383 and 63391 is 4017911753.

LCM(63383,63391) = 4017911753

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Least Common Multiple of 63383 and 63391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63383 and 63391, than apply into the LCM equation.

GCF(63383,63391) = 1
LCM(63383,63391) = ( 63383 × 63391) / 1
LCM(63383,63391) = 4017911753 / 1
LCM(63383,63391) = 4017911753

Least Common Multiple (LCM) of 63383 and 63391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63383 and 63391. First we will calculate the prime factors of 63383 and 63391.

Prime Factorization of 63383

Prime factors of 63383 are 241, 263. Prime factorization of 63383 in exponential form is:

63383 = 2411 × 2631

Prime Factorization of 63391

Prime factors of 63391 are 63391. Prime factorization of 63391 in exponential form is:

63391 = 633911

Now multiplying the highest exponent prime factors to calculate the LCM of 63383 and 63391.

LCM(63383,63391) = 2411 × 2631 × 633911
LCM(63383,63391) = 4017911753