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What is the Least Common Multiple of 84383 and 84392?

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 84383 and 84392 is 7121250136.

LCM(84383,84392) = 7121250136

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Least Common Multiple of 84383 and 84392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84383 and 84392, than apply into the LCM equation.

GCF(84383,84392) = 1
LCM(84383,84392) = ( 84383 × 84392) / 1
LCM(84383,84392) = 7121250136 / 1
LCM(84383,84392) = 7121250136

Least Common Multiple (LCM) of 84383 and 84392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84383 and 84392. First we will calculate the prime factors of 84383 and 84392.

Prime Factorization of 84383

Prime factors of 84383 are 13, 6491. Prime factorization of 84383 in exponential form is:

84383 = 131 × 64911

Prime Factorization of 84392

Prime factors of 84392 are 2, 7, 11, 137. Prime factorization of 84392 in exponential form is:

84392 = 23 × 71 × 111 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 84383 and 84392.

LCM(84383,84392) = 131 × 64911 × 23 × 71 × 111 × 1371
LCM(84383,84392) = 7121250136