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What is the Least Common Multiple of 82835 and 82851?

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 82835 and 82851 is 6862962585.

LCM(82835,82851) = 6862962585

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Least Common Multiple of 82835 and 82851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82835 and 82851, than apply into the LCM equation.

GCF(82835,82851) = 1
LCM(82835,82851) = ( 82835 × 82851) / 1
LCM(82835,82851) = 6862962585 / 1
LCM(82835,82851) = 6862962585

Least Common Multiple (LCM) of 82835 and 82851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82835 and 82851. First we will calculate the prime factors of 82835 and 82851.

Prime Factorization of 82835

Prime factors of 82835 are 5, 16567. Prime factorization of 82835 in exponential form is:

82835 = 51 × 165671

Prime Factorization of 82851

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

82851 = 31 × 276171

Now multiplying the highest exponent prime factors to calculate the LCM of 82835 and 82851.

LCM(82835,82851) = 51 × 165671 × 31 × 276171
LCM(82835,82851) = 6862962585