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What is the Least Common Multiple of 80833 and 80848?

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 80848 is 6535186384.

LCM(80833,80848) = 6535186384

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Least Common Multiple of 80833 and 80848 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 80848, than apply into the LCM equation.

GCF(80833,80848) = 1
LCM(80833,80848) = ( 80833 × 80848) / 1
LCM(80833,80848) = 6535186384 / 1
LCM(80833,80848) = 6535186384

Least Common Multiple (LCM) of 80833 and 80848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80833 and 80848. First we will calculate the prime factors of 80833 and 80848.

Prime Factorization of 80833

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

80833 = 808331

Prime Factorization of 80848

Prime factors of 80848 are 2, 31, 163. Prime factorization of 80848 in exponential form is:

80848 = 24 × 311 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 80833 and 80848.

LCM(80833,80848) = 808331 × 24 × 311 × 1631
LCM(80833,80848) = 6535186384