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What is the Least Common Multiple of 17941 and 17954?

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 17941 and 17954 is 322112714.

LCM(17941,17954) = 322112714

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Least Common Multiple of 17941 and 17954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17941 and 17954, than apply into the LCM equation.

GCF(17941,17954) = 1
LCM(17941,17954) = ( 17941 × 17954) / 1
LCM(17941,17954) = 322112714 / 1
LCM(17941,17954) = 322112714

Least Common Multiple (LCM) of 17941 and 17954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17941 and 17954. First we will calculate the prime factors of 17941 and 17954.

Prime Factorization of 17941

Prime factors of 17941 are 7, 11, 233. Prime factorization of 17941 in exponential form is:

17941 = 71 × 111 × 2331

Prime Factorization of 17954

Prime factors of 17954 are 2, 47, 191. Prime factorization of 17954 in exponential form is:

17954 = 21 × 471 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 17941 and 17954.

LCM(17941,17954) = 71 × 111 × 2331 × 21 × 471 × 1911
LCM(17941,17954) = 322112714