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What is the Least Common Multiple of 82847 and 82860?

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 82847 and 82860 is 6864702420.

LCM(82847,82860) = 6864702420

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Least Common Multiple of 82847 and 82860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82847 and 82860, than apply into the LCM equation.

GCF(82847,82860) = 1
LCM(82847,82860) = ( 82847 × 82860) / 1
LCM(82847,82860) = 6864702420 / 1
LCM(82847,82860) = 6864702420

Least Common Multiple (LCM) of 82847 and 82860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82847 and 82860. First we will calculate the prime factors of 82847 and 82860.

Prime Factorization of 82847

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

82847 = 828471

Prime Factorization of 82860

Prime factors of 82860 are 2, 3, 5, 1381. Prime factorization of 82860 in exponential form is:

82860 = 22 × 31 × 51 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 82847 and 82860.

LCM(82847,82860) = 828471 × 22 × 31 × 51 × 13811
LCM(82847,82860) = 6864702420