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What is the Least Common Multiple of 8364 and 8383?

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 8364 and 8383 is 70115412.

LCM(8364,8383) = 70115412

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Least Common Multiple of 8364 and 8383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8364 and 8383, than apply into the LCM equation.

GCF(8364,8383) = 1
LCM(8364,8383) = ( 8364 × 8383) / 1
LCM(8364,8383) = 70115412 / 1
LCM(8364,8383) = 70115412

Least Common Multiple (LCM) of 8364 and 8383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8364 and 8383. First we will calculate the prime factors of 8364 and 8383.

Prime Factorization of 8364

Prime factors of 8364 are 2, 3, 17, 41. Prime factorization of 8364 in exponential form is:

8364 = 22 × 31 × 171 × 411

Prime Factorization of 8383

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

8383 = 831 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8364 and 8383.

LCM(8364,8383) = 22 × 31 × 171 × 411 × 831 × 1011
LCM(8364,8383) = 70115412