What is the Least Common Multiple of 8863 and 8877?
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 8877 is 78676851.
LCM(8863,8877) = 78676851
Least Common Multiple of 8863 and 8877 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 8877, than apply into the LCM equation.
GCF(8863,8877) = 1
LCM(8863,8877) = ( 8863 × 8877) / 1
LCM(8863,8877) = 78676851 / 1
LCM(8863,8877) = 78676851
Least Common Multiple (LCM) of 8863 and 8877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8863 and 8877. First we will calculate the prime factors of 8863 and 8877.
Prime Factorization of 8863
Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:
8863 = 88631
Prime Factorization of 8877
Prime factors of 8877 are 3, 11, 269. Prime factorization of 8877 in exponential form is:
8877 = 31 × 111 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 8863 and 8877.
LCM(8863,8877) = 88631 × 31 × 111 × 2691
LCM(8863,8877) = 78676851
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