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What is the Least Common Multiple of 29487 and 29506?

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 29487 and 29506 is 870043422.

LCM(29487,29506) = 870043422

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Least Common Multiple of 29487 and 29506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29487 and 29506, than apply into the LCM equation.

GCF(29487,29506) = 1
LCM(29487,29506) = ( 29487 × 29506) / 1
LCM(29487,29506) = 870043422 / 1
LCM(29487,29506) = 870043422

Least Common Multiple (LCM) of 29487 and 29506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29487 and 29506. First we will calculate the prime factors of 29487 and 29506.

Prime Factorization of 29487

Prime factors of 29487 are 3, 9829. Prime factorization of 29487 in exponential form is:

29487 = 31 × 98291

Prime Factorization of 29506

Prime factors of 29506 are 2, 14753. Prime factorization of 29506 in exponential form is:

29506 = 21 × 147531

Now multiplying the highest exponent prime factors to calculate the LCM of 29487 and 29506.

LCM(29487,29506) = 31 × 98291 × 21 × 147531
LCM(29487,29506) = 870043422