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What is the Least Common Multiple of 42833 and 42849?

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 42833 and 42849 is 1835351217.

LCM(42833,42849) = 1835351217

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Least Common Multiple of 42833 and 42849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42833 and 42849, than apply into the LCM equation.

GCF(42833,42849) = 1
LCM(42833,42849) = ( 42833 × 42849) / 1
LCM(42833,42849) = 1835351217 / 1
LCM(42833,42849) = 1835351217

Least Common Multiple (LCM) of 42833 and 42849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42833 and 42849. First we will calculate the prime factors of 42833 and 42849.

Prime Factorization of 42833

Prime factors of 42833 are 7, 29, 211. Prime factorization of 42833 in exponential form is:

42833 = 71 × 291 × 2111

Prime Factorization of 42849

Prime factors of 42849 are 3, 23. Prime factorization of 42849 in exponential form is:

42849 = 34 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 42833 and 42849.

LCM(42833,42849) = 71 × 291 × 2111 × 34 × 232
LCM(42833,42849) = 1835351217