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What is the Least Common Multiple of 16941 and 16946?

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 16941 and 16946 is 287082186.

LCM(16941,16946) = 287082186

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Least Common Multiple of 16941 and 16946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16941 and 16946, than apply into the LCM equation.

GCF(16941,16946) = 1
LCM(16941,16946) = ( 16941 × 16946) / 1
LCM(16941,16946) = 287082186 / 1
LCM(16941,16946) = 287082186

Least Common Multiple (LCM) of 16941 and 16946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16941 and 16946. First we will calculate the prime factors of 16941 and 16946.

Prime Factorization of 16941

Prime factors of 16941 are 3, 5647. Prime factorization of 16941 in exponential form is:

16941 = 31 × 56471

Prime Factorization of 16946

Prime factors of 16946 are 2, 37, 229. Prime factorization of 16946 in exponential form is:

16946 = 21 × 371 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 16941 and 16946.

LCM(16941,16946) = 31 × 56471 × 21 × 371 × 2291
LCM(16941,16946) = 287082186