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What is the Least Common Multiple of 29554 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 29554 and 29563 is 873704902.

LCM(29554,29563) = 873704902

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Least Common Multiple of 29554 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 29554 and 29563, than apply into the LCM equation.

GCF(29554,29563) = 1
LCM(29554,29563) = ( 29554 × 29563) / 1
LCM(29554,29563) = 873704902 / 1
LCM(29554,29563) = 873704902

Least Common Multiple (LCM) of 29554 and 29563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29554 and 29563. First we will calculate the prime factors of 29554 and 29563.

Prime Factorization of 29554

Prime factors of 29554 are 2, 7, 2111. Prime factorization of 29554 in exponential form is:

29554 = 21 × 71 × 21111

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 29554 and 29563.

LCM(29554,29563) = 21 × 71 × 21111 × 171 × 371 × 471
LCM(29554,29563) = 873704902