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What is the Least Common Multiple of 8847 and 8861?

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 8847 and 8861 is 78393267.

LCM(8847,8861) = 78393267

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Least Common Multiple of 8847 and 8861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8847 and 8861, than apply into the LCM equation.

GCF(8847,8861) = 1
LCM(8847,8861) = ( 8847 × 8861) / 1
LCM(8847,8861) = 78393267 / 1
LCM(8847,8861) = 78393267

Least Common Multiple (LCM) of 8847 and 8861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8847 and 8861. First we will calculate the prime factors of 8847 and 8861.

Prime Factorization of 8847

Prime factors of 8847 are 3, 983. Prime factorization of 8847 in exponential form is:

8847 = 32 × 9831

Prime Factorization of 8861

Prime factors of 8861 are 8861. Prime factorization of 8861 in exponential form is:

8861 = 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 8847 and 8861.

LCM(8847,8861) = 32 × 9831 × 88611
LCM(8847,8861) = 78393267