What is the Least Common Multiple of 8863 and 8876?
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 8863 and 8876 is 78667988.
LCM(8863,8876) = 78667988
Least Common Multiple of 8863 and 8876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8863 and 8876, than apply into the LCM equation.
GCF(8863,8876) = 1
LCM(8863,8876) = ( 8863 × 8876) / 1
LCM(8863,8876) = 78667988 / 1
LCM(8863,8876) = 78667988
Least Common Multiple (LCM) of 8863 and 8876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8863 and 8876. First we will calculate the prime factors of 8863 and 8876.
Prime Factorization of 8863
Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:
8863 = 88631
Prime Factorization of 8876
Prime factors of 8876 are 2, 7, 317. Prime factorization of 8876 in exponential form is:
8876 = 22 × 71 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 8863 and 8876.
LCM(8863,8876) = 88631 × 22 × 71 × 3171
LCM(8863,8876) = 78667988
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