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What is the Least Common Multiple of 16833 and 16839?

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 16833 and 16839 is 94483629.

LCM(16833,16839) = 94483629

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Least Common Multiple of 16833 and 16839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16833 and 16839, than apply into the LCM equation.

GCF(16833,16839) = 3
LCM(16833,16839) = ( 16833 × 16839) / 3
LCM(16833,16839) = 283450887 / 3
LCM(16833,16839) = 94483629

Least Common Multiple (LCM) of 16833 and 16839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16833 and 16839. First we will calculate the prime factors of 16833 and 16839.

Prime Factorization of 16833

Prime factors of 16833 are 3, 31, 181. Prime factorization of 16833 in exponential form is:

16833 = 31 × 311 × 1811

Prime Factorization of 16839

Prime factors of 16839 are 3, 1871. Prime factorization of 16839 in exponential form is:

16839 = 32 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 16833 and 16839.

LCM(16833,16839) = 32 × 311 × 1811 × 18711
LCM(16833,16839) = 94483629