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What is the Least Common Multiple of 82927 and 82933?

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 82927 and 82933 is 6877384891.

LCM(82927,82933) = 6877384891

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Least Common Multiple of 82927 and 82933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82927 and 82933, than apply into the LCM equation.

GCF(82927,82933) = 1
LCM(82927,82933) = ( 82927 × 82933) / 1
LCM(82927,82933) = 6877384891 / 1
LCM(82927,82933) = 6877384891

Least Common Multiple (LCM) of 82927 and 82933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82927 and 82933. First we will calculate the prime factors of 82927 and 82933.

Prime Factorization of 82927

Prime factors of 82927 are 13, 6379. Prime factorization of 82927 in exponential form is:

82927 = 131 × 63791

Prime Factorization of 82933

Prime factors of 82933 are 239, 347. Prime factorization of 82933 in exponential form is:

82933 = 2391 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 82927 and 82933.

LCM(82927,82933) = 131 × 63791 × 2391 × 3471
LCM(82927,82933) = 6877384891