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What is the Least Common Multiple of 29481 and 29499?

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 29481 and 29499 is 289886673.

LCM(29481,29499) = 289886673

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Least Common Multiple of 29481 and 29499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29481 and 29499, than apply into the LCM equation.

GCF(29481,29499) = 3
LCM(29481,29499) = ( 29481 × 29499) / 3
LCM(29481,29499) = 869660019 / 3
LCM(29481,29499) = 289886673

Least Common Multiple (LCM) of 29481 and 29499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29481 and 29499. First we will calculate the prime factors of 29481 and 29499.

Prime Factorization of 29481

Prime factors of 29481 are 3, 31, 317. Prime factorization of 29481 in exponential form is:

29481 = 31 × 311 × 3171

Prime Factorization of 29499

Prime factors of 29499 are 3, 9833. Prime factorization of 29499 in exponential form is:

29499 = 31 × 98331

Now multiplying the highest exponent prime factors to calculate the LCM of 29481 and 29499.

LCM(29481,29499) = 31 × 311 × 3171 × 98331
LCM(29481,29499) = 289886673