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What is the Least Common Multiple of 8071 and 8083?

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 8071 and 8083 is 65237893.

LCM(8071,8083) = 65237893

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Least Common Multiple of 8071 and 8083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8071 and 8083, than apply into the LCM equation.

GCF(8071,8083) = 1
LCM(8071,8083) = ( 8071 × 8083) / 1
LCM(8071,8083) = 65237893 / 1
LCM(8071,8083) = 65237893

Least Common Multiple (LCM) of 8071 and 8083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8071 and 8083. First we will calculate the prime factors of 8071 and 8083.

Prime Factorization of 8071

Prime factors of 8071 are 7, 1153. Prime factorization of 8071 in exponential form is:

8071 = 71 × 11531

Prime Factorization of 8083

Prime factors of 8083 are 59, 137. Prime factorization of 8083 in exponential form is:

8083 = 591 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 8071 and 8083.

LCM(8071,8083) = 71 × 11531 × 591 × 1371
LCM(8071,8083) = 65237893