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What is the Least Common Multiple of 29553 and 29563?

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 29553 and 29563 is 873675339.

LCM(29553,29563) = 873675339

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Least Common Multiple of 29553 and 29563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29553 and 29563, than apply into the LCM equation.

GCF(29553,29563) = 1
LCM(29553,29563) = ( 29553 × 29563) / 1
LCM(29553,29563) = 873675339 / 1
LCM(29553,29563) = 873675339

Least Common Multiple (LCM) of 29553 and 29563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29553 and 29563. First we will calculate the prime factors of 29553 and 29563.

Prime Factorization of 29553

Prime factors of 29553 are 3, 9851. Prime factorization of 29553 in exponential form is:

29553 = 31 × 98511

Prime Factorization of 29563

Prime factors of 29563 are 17, 37, 47. Prime factorization of 29563 in exponential form is:

29563 = 171 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 29553 and 29563.

LCM(29553,29563) = 31 × 98511 × 171 × 371 × 471
LCM(29553,29563) = 873675339