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What is the Least Common Multiple of 16833 and 16846?

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 16846 is 283568718.

LCM(16833,16846) = 283568718

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Least Common Multiple of 16833 and 16846 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 16846, than apply into the LCM equation.

GCF(16833,16846) = 1
LCM(16833,16846) = ( 16833 × 16846) / 1
LCM(16833,16846) = 283568718 / 1
LCM(16833,16846) = 283568718

Least Common Multiple (LCM) of 16833 and 16846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16833 and 16846. First we will calculate the prime factors of 16833 and 16846.

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 16846

Prime factors of 16846 are 2, 8423. Prime factorization of 16846 in exponential form is:

16846 = 21 × 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 16833 and 16846.

LCM(16833,16846) = 31 × 311 × 1811 × 21 × 84231
LCM(16833,16846) = 283568718