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What is the Least Common Multiple of 80814 and 80833?

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 80814 and 80833 is 6532438062.

LCM(80814,80833) = 6532438062

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Least Common Multiple of 80814 and 80833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80814 and 80833, than apply into the LCM equation.

GCF(80814,80833) = 1
LCM(80814,80833) = ( 80814 × 80833) / 1
LCM(80814,80833) = 6532438062 / 1
LCM(80814,80833) = 6532438062

Least Common Multiple (LCM) of 80814 and 80833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80814 and 80833. First we will calculate the prime factors of 80814 and 80833.

Prime Factorization of 80814

Prime factors of 80814 are 2, 3, 13469. Prime factorization of 80814 in exponential form is:

80814 = 21 × 31 × 134691

Prime Factorization of 80833

Prime factors of 80833 are 80833. Prime factorization of 80833 in exponential form is:

80833 = 808331

Now multiplying the highest exponent prime factors to calculate the LCM of 80814 and 80833.

LCM(80814,80833) = 21 × 31 × 134691 × 808331
LCM(80814,80833) = 6532438062