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What is the Least Common Multiple of 82886 and 82897?

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 82886 and 82897 is 6871000742.

LCM(82886,82897) = 6871000742

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Least Common Multiple of 82886 and 82897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82886 and 82897, than apply into the LCM equation.

GCF(82886,82897) = 1
LCM(82886,82897) = ( 82886 × 82897) / 1
LCM(82886,82897) = 6871000742 / 1
LCM(82886,82897) = 6871000742

Least Common Multiple (LCM) of 82886 and 82897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82886 and 82897. First we will calculate the prime factors of 82886 and 82897.

Prime Factorization of 82886

Prime factors of 82886 are 2, 41443. Prime factorization of 82886 in exponential form is:

82886 = 21 × 414431

Prime Factorization of 82897

Prime factors of 82897 are 19, 4363. Prime factorization of 82897 in exponential form is:

82897 = 191 × 43631

Now multiplying the highest exponent prime factors to calculate the LCM of 82886 and 82897.

LCM(82886,82897) = 21 × 414431 × 191 × 43631
LCM(82886,82897) = 6871000742