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What is the Least Common Multiple of 8383 and 8392?

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 8383 and 8392 is 70350136.

LCM(8383,8392) = 70350136

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Least Common Multiple of 8383 and 8392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8383 and 8392, than apply into the LCM equation.

GCF(8383,8392) = 1
LCM(8383,8392) = ( 8383 × 8392) / 1
LCM(8383,8392) = 70350136 / 1
LCM(8383,8392) = 70350136

Least Common Multiple (LCM) of 8383 and 8392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8383 and 8392. First we will calculate the prime factors of 8383 and 8392.

Prime Factorization of 8383

Prime factors of 8383 are 83, 101. Prime factorization of 8383 in exponential form is:

8383 = 831 × 1011

Prime Factorization of 8392

Prime factors of 8392 are 2, 1049. Prime factorization of 8392 in exponential form is:

8392 = 23 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 8383 and 8392.

LCM(8383,8392) = 831 × 1011 × 23 × 10491
LCM(8383,8392) = 70350136