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What is the Least Common Multiple of 8823 and 8841?

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 8823 and 8841 is 26001381.

LCM(8823,8841) = 26001381

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Least Common Multiple of 8823 and 8841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8823 and 8841, than apply into the LCM equation.

GCF(8823,8841) = 3
LCM(8823,8841) = ( 8823 × 8841) / 3
LCM(8823,8841) = 78004143 / 3
LCM(8823,8841) = 26001381

Least Common Multiple (LCM) of 8823 and 8841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8823 and 8841. First we will calculate the prime factors of 8823 and 8841.

Prime Factorization of 8823

Prime factors of 8823 are 3, 17, 173. Prime factorization of 8823 in exponential form is:

8823 = 31 × 171 × 1731

Prime Factorization of 8841

Prime factors of 8841 are 3, 7, 421. Prime factorization of 8841 in exponential form is:

8841 = 31 × 71 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 8823 and 8841.

LCM(8823,8841) = 31 × 171 × 1731 × 71 × 4211
LCM(8823,8841) = 26001381