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What is the Least Common Multiple of 80853 and 80865?

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 80853 and 80865 is 2179392615.

LCM(80853,80865) = 2179392615

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Least Common Multiple of 80853 and 80865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80853 and 80865, than apply into the LCM equation.

GCF(80853,80865) = 3
LCM(80853,80865) = ( 80853 × 80865) / 3
LCM(80853,80865) = 6538177845 / 3
LCM(80853,80865) = 2179392615

Least Common Multiple (LCM) of 80853 and 80865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80853 and 80865. First we will calculate the prime factors of 80853 and 80865.

Prime Factorization of 80853

Prime factors of 80853 are 3, 26951. Prime factorization of 80853 in exponential form is:

80853 = 31 × 269511

Prime Factorization of 80865

Prime factors of 80865 are 3, 5, 599. Prime factorization of 80865 in exponential form is:

80865 = 33 × 51 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 80853 and 80865.

LCM(80853,80865) = 33 × 269511 × 51 × 5991
LCM(80853,80865) = 2179392615