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What is the Least Common Multiple of 29559 and 29569?

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 29559 and 29569 is 874030071.

LCM(29559,29569) = 874030071

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Least Common Multiple of 29559 and 29569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29559 and 29569, than apply into the LCM equation.

GCF(29559,29569) = 1
LCM(29559,29569) = ( 29559 × 29569) / 1
LCM(29559,29569) = 874030071 / 1
LCM(29559,29569) = 874030071

Least Common Multiple (LCM) of 29559 and 29569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29559 and 29569. First we will calculate the prime factors of 29559 and 29569.

Prime Factorization of 29559

Prime factors of 29559 are 3, 59, 167. Prime factorization of 29559 in exponential form is:

29559 = 31 × 591 × 1671

Prime Factorization of 29569

Prime factors of 29569 are 29569. Prime factorization of 29569 in exponential form is:

29569 = 295691

Now multiplying the highest exponent prime factors to calculate the LCM of 29559 and 29569.

LCM(29559,29569) = 31 × 591 × 1671 × 295691
LCM(29559,29569) = 874030071