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What is the Least Common Multiple of 16846 and 16851?

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 16846 and 16851 is 283871946.

LCM(16846,16851) = 283871946

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Least Common Multiple of 16846 and 16851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16846 and 16851, than apply into the LCM equation.

GCF(16846,16851) = 1
LCM(16846,16851) = ( 16846 × 16851) / 1
LCM(16846,16851) = 283871946 / 1
LCM(16846,16851) = 283871946

Least Common Multiple (LCM) of 16846 and 16851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16846 and 16851. First we will calculate the prime factors of 16846 and 16851.

Prime Factorization of 16846

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

16846 = 21 × 84231

Prime Factorization of 16851

Prime factors of 16851 are 3, 41, 137. Prime factorization of 16851 in exponential form is:

16851 = 31 × 411 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 16846 and 16851.

LCM(16846,16851) = 21 × 84231 × 31 × 411 × 1371
LCM(16846,16851) = 283871946