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What is the Least Common Multiple of 80845 and 80863?

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 80845 and 80863 is 6537369235.

LCM(80845,80863) = 6537369235

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Least Common Multiple of 80845 and 80863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80845 and 80863, than apply into the LCM equation.

GCF(80845,80863) = 1
LCM(80845,80863) = ( 80845 × 80863) / 1
LCM(80845,80863) = 6537369235 / 1
LCM(80845,80863) = 6537369235

Least Common Multiple (LCM) of 80845 and 80863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80845 and 80863. First we will calculate the prime factors of 80845 and 80863.

Prime Factorization of 80845

Prime factors of 80845 are 5, 19, 23, 37. Prime factorization of 80845 in exponential form is:

80845 = 51 × 191 × 231 × 371

Prime Factorization of 80863

Prime factors of 80863 are 80863. Prime factorization of 80863 in exponential form is:

80863 = 808631

Now multiplying the highest exponent prime factors to calculate the LCM of 80845 and 80863.

LCM(80845,80863) = 51 × 191 × 231 × 371 × 808631
LCM(80845,80863) = 6537369235