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What is the Least Common Multiple of 82790 and 82799?

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 82790 and 82799 is 6854929210.

LCM(82790,82799) = 6854929210

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Least Common Multiple of 82790 and 82799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82790 and 82799, than apply into the LCM equation.

GCF(82790,82799) = 1
LCM(82790,82799) = ( 82790 × 82799) / 1
LCM(82790,82799) = 6854929210 / 1
LCM(82790,82799) = 6854929210

Least Common Multiple (LCM) of 82790 and 82799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82790 and 82799. First we will calculate the prime factors of 82790 and 82799.

Prime Factorization of 82790

Prime factors of 82790 are 2, 5, 17, 487. Prime factorization of 82790 in exponential form is:

82790 = 21 × 51 × 171 × 4871

Prime Factorization of 82799

Prime factors of 82799 are 82799. Prime factorization of 82799 in exponential form is:

82799 = 827991

Now multiplying the highest exponent prime factors to calculate the LCM of 82790 and 82799.

LCM(82790,82799) = 21 × 51 × 171 × 4871 × 827991
LCM(82790,82799) = 6854929210