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What is the Least Common Multiple of 80833 and 80849?

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 80833 and 80849 is 6535267217.

LCM(80833,80849) = 6535267217

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Least Common Multiple of 80833 and 80849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80833 and 80849, than apply into the LCM equation.

GCF(80833,80849) = 1
LCM(80833,80849) = ( 80833 × 80849) / 1
LCM(80833,80849) = 6535267217 / 1
LCM(80833,80849) = 6535267217

Least Common Multiple (LCM) of 80833 and 80849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80833 and 80849. First we will calculate the prime factors of 80833 and 80849.

Prime Factorization of 80833

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

80833 = 808331

Prime Factorization of 80849

Prime factors of 80849 are 80849. Prime factorization of 80849 in exponential form is:

80849 = 808491

Now multiplying the highest exponent prime factors to calculate the LCM of 80833 and 80849.

LCM(80833,80849) = 808331 × 808491
LCM(80833,80849) = 6535267217