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What is the Least Common Multiple of 82833 and 82843?

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 82833 and 82843 is 6862134219.

LCM(82833,82843) = 6862134219

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Least Common Multiple of 82833 and 82843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82833 and 82843, than apply into the LCM equation.

GCF(82833,82843) = 1
LCM(82833,82843) = ( 82833 × 82843) / 1
LCM(82833,82843) = 6862134219 / 1
LCM(82833,82843) = 6862134219

Least Common Multiple (LCM) of 82833 and 82843 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82833 and 82843. First we will calculate the prime factors of 82833 and 82843.

Prime Factorization of 82833

Prime factors of 82833 are 3, 27611. Prime factorization of 82833 in exponential form is:

82833 = 31 × 276111

Prime Factorization of 82843

Prime factors of 82843 are 37, 2239. Prime factorization of 82843 in exponential form is:

82843 = 371 × 22391

Now multiplying the highest exponent prime factors to calculate the LCM of 82833 and 82843.

LCM(82833,82843) = 31 × 276111 × 371 × 22391
LCM(82833,82843) = 6862134219