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What is the Least Common Multiple of 17939 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 17939 and 17954 is 322076806.

LCM(17939,17954) = 322076806

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Least Common Multiple of 17939 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 17939 and 17954, than apply into the LCM equation.

GCF(17939,17954) = 1
LCM(17939,17954) = ( 17939 × 17954) / 1
LCM(17939,17954) = 322076806 / 1
LCM(17939,17954) = 322076806

Least Common Multiple (LCM) of 17939 and 17954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17939 and 17954. First we will calculate the prime factors of 17939 and 17954.

Prime Factorization of 17939

Prime factors of 17939 are 17939. Prime factorization of 17939 in exponential form is:

17939 = 179391

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 17939 and 17954.

LCM(17939,17954) = 179391 × 21 × 471 × 1911
LCM(17939,17954) = 322076806