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What is the Least Common Multiple of 8869 and 8884?

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 8869 and 8884 is 78792196.

LCM(8869,8884) = 78792196

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Least Common Multiple of 8869 and 8884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8869 and 8884, than apply into the LCM equation.

GCF(8869,8884) = 1
LCM(8869,8884) = ( 8869 × 8884) / 1
LCM(8869,8884) = 78792196 / 1
LCM(8869,8884) = 78792196

Least Common Multiple (LCM) of 8869 and 8884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8869 and 8884. First we will calculate the prime factors of 8869 and 8884.

Prime Factorization of 8869

Prime factors of 8869 are 7, 181. Prime factorization of 8869 in exponential form is:

8869 = 72 × 1811

Prime Factorization of 8884

Prime factors of 8884 are 2, 2221. Prime factorization of 8884 in exponential form is:

8884 = 22 × 22211

Now multiplying the highest exponent prime factors to calculate the LCM of 8869 and 8884.

LCM(8869,8884) = 72 × 1811 × 22 × 22211
LCM(8869,8884) = 78792196