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What is the Least Common Multiple of 8834 and 8846?

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 8834 and 8846 is 39072782.

LCM(8834,8846) = 39072782

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Least Common Multiple of 8834 and 8846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8834 and 8846, than apply into the LCM equation.

GCF(8834,8846) = 2
LCM(8834,8846) = ( 8834 × 8846) / 2
LCM(8834,8846) = 78145564 / 2
LCM(8834,8846) = 39072782

Least Common Multiple (LCM) of 8834 and 8846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8834 and 8846. First we will calculate the prime factors of 8834 and 8846.

Prime Factorization of 8834

Prime factors of 8834 are 2, 7, 631. Prime factorization of 8834 in exponential form is:

8834 = 21 × 71 × 6311

Prime Factorization of 8846

Prime factors of 8846 are 2, 4423. Prime factorization of 8846 in exponential form is:

8846 = 21 × 44231

Now multiplying the highest exponent prime factors to calculate the LCM of 8834 and 8846.

LCM(8834,8846) = 21 × 71 × 6311 × 44231
LCM(8834,8846) = 39072782