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What is the Least Common Multiple of 82851 and 82867?

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 82851 and 82867 is 6865613817.

LCM(82851,82867) = 6865613817

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Least Common Multiple of 82851 and 82867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82851 and 82867, than apply into the LCM equation.

GCF(82851,82867) = 1
LCM(82851,82867) = ( 82851 × 82867) / 1
LCM(82851,82867) = 6865613817 / 1
LCM(82851,82867) = 6865613817

Least Common Multiple (LCM) of 82851 and 82867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82851 and 82867. First we will calculate the prime factors of 82851 and 82867.

Prime Factorization of 82851

Prime factors of 82851 are 3, 27617. Prime factorization of 82851 in exponential form is:

82851 = 31 × 276171

Prime Factorization of 82867

Prime factors of 82867 are 173, 479. Prime factorization of 82867 in exponential form is:

82867 = 1731 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 82851 and 82867.

LCM(82851,82867) = 31 × 276171 × 1731 × 4791
LCM(82851,82867) = 6865613817