What is the Least Common Multiple of 8871 and 8886?
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 8871 and 8886 is 26275902.
LCM(8871,8886) = 26275902
Least Common Multiple of 8871 and 8886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8871 and 8886, than apply into the LCM equation.
GCF(8871,8886) = 3
LCM(8871,8886) = ( 8871 × 8886) / 3
LCM(8871,8886) = 78827706 / 3
LCM(8871,8886) = 26275902
Least Common Multiple (LCM) of 8871 and 8886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8871 and 8886. First we will calculate the prime factors of 8871 and 8886.
Prime Factorization of 8871
Prime factors of 8871 are 3, 2957. Prime factorization of 8871 in exponential form is:
8871 = 31 × 29571
Prime Factorization of 8886
Prime factors of 8886 are 2, 3, 1481. Prime factorization of 8886 in exponential form is:
8886 = 21 × 31 × 14811
Now multiplying the highest exponent prime factors to calculate the LCM of 8871 and 8886.
LCM(8871,8886) = 31 × 29571 × 21 × 14811
LCM(8871,8886) = 26275902
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