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What is the Least Common Multiple of 17913 and 17929?

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 17913 and 17929 is 321162177.

LCM(17913,17929) = 321162177

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Least Common Multiple of 17913 and 17929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17913 and 17929, than apply into the LCM equation.

GCF(17913,17929) = 1
LCM(17913,17929) = ( 17913 × 17929) / 1
LCM(17913,17929) = 321162177 / 1
LCM(17913,17929) = 321162177

Least Common Multiple (LCM) of 17913 and 17929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17913 and 17929. First we will calculate the prime factors of 17913 and 17929.

Prime Factorization of 17913

Prime factors of 17913 are 3, 7, 853. Prime factorization of 17913 in exponential form is:

17913 = 31 × 71 × 8531

Prime Factorization of 17929

Prime factors of 17929 are 17929. Prime factorization of 17929 in exponential form is:

17929 = 179291

Now multiplying the highest exponent prime factors to calculate the LCM of 17913 and 17929.

LCM(17913,17929) = 31 × 71 × 8531 × 179291
LCM(17913,17929) = 321162177