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What is the Least Common Multiple of 17912 and 17927?

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 17912 and 17927 is 321108424.

LCM(17912,17927) = 321108424

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Least Common Multiple of 17912 and 17927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17912 and 17927, than apply into the LCM equation.

GCF(17912,17927) = 1
LCM(17912,17927) = ( 17912 × 17927) / 1
LCM(17912,17927) = 321108424 / 1
LCM(17912,17927) = 321108424

Least Common Multiple (LCM) of 17912 and 17927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17912 and 17927. First we will calculate the prime factors of 17912 and 17927.

Prime Factorization of 17912

Prime factors of 17912 are 2, 2239. Prime factorization of 17912 in exponential form is:

17912 = 23 × 22391

Prime Factorization of 17927

Prime factors of 17927 are 7, 13, 197. Prime factorization of 17927 in exponential form is:

17927 = 71 × 131 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 17912 and 17927.

LCM(17912,17927) = 23 × 22391 × 71 × 131 × 1971
LCM(17912,17927) = 321108424