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What is the Least Common Multiple of 29571 and 29582?

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 29571 and 29582 is 874769322.

LCM(29571,29582) = 874769322

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Least Common Multiple of 29571 and 29582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29571 and 29582, than apply into the LCM equation.

GCF(29571,29582) = 1
LCM(29571,29582) = ( 29571 × 29582) / 1
LCM(29571,29582) = 874769322 / 1
LCM(29571,29582) = 874769322

Least Common Multiple (LCM) of 29571 and 29582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29571 and 29582. First we will calculate the prime factors of 29571 and 29582.

Prime Factorization of 29571

Prime factors of 29571 are 3, 9857. Prime factorization of 29571 in exponential form is:

29571 = 31 × 98571

Prime Factorization of 29582

Prime factors of 29582 are 2, 7, 2113. Prime factorization of 29582 in exponential form is:

29582 = 21 × 71 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 29571 and 29582.

LCM(29571,29582) = 31 × 98571 × 21 × 71 × 21131
LCM(29571,29582) = 874769322