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What is the Least Common Multiple of 82833 and 82847?

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 82847 is 6862465551.

LCM(82833,82847) = 6862465551

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Least Common Multiple of 82833 and 82847 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 82847, than apply into the LCM equation.

GCF(82833,82847) = 1
LCM(82833,82847) = ( 82833 × 82847) / 1
LCM(82833,82847) = 6862465551 / 1
LCM(82833,82847) = 6862465551

Least Common Multiple (LCM) of 82833 and 82847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82833 and 82847. First we will calculate the prime factors of 82833 and 82847.

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 82847

Prime factors of 82847 are 82847. Prime factorization of 82847 in exponential form is:

82847 = 828471

Now multiplying the highest exponent prime factors to calculate the LCM of 82833 and 82847.

LCM(82833,82847) = 31 × 276111 × 828471
LCM(82833,82847) = 6862465551