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What is the Least Common Multiple of 8889 and 8902?

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 8889 and 8902 is 79129878.

LCM(8889,8902) = 79129878

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Least Common Multiple of 8889 and 8902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8889 and 8902, than apply into the LCM equation.

GCF(8889,8902) = 1
LCM(8889,8902) = ( 8889 × 8902) / 1
LCM(8889,8902) = 79129878 / 1
LCM(8889,8902) = 79129878

Least Common Multiple (LCM) of 8889 and 8902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8889 and 8902. First we will calculate the prime factors of 8889 and 8902.

Prime Factorization of 8889

Prime factors of 8889 are 3, 2963. Prime factorization of 8889 in exponential form is:

8889 = 31 × 29631

Prime Factorization of 8902

Prime factors of 8902 are 2, 4451. Prime factorization of 8902 in exponential form is:

8902 = 21 × 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 8889 and 8902.

LCM(8889,8902) = 31 × 29631 × 21 × 44511
LCM(8889,8902) = 79129878