What is the Least Common Multiple of 8859 and 8865?
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 8859 and 8865 is 26178345.
LCM(8859,8865) = 26178345
Least Common Multiple of 8859 and 8865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8859 and 8865, than apply into the LCM equation.
GCF(8859,8865) = 3
LCM(8859,8865) = ( 8859 × 8865) / 3
LCM(8859,8865) = 78535035 / 3
LCM(8859,8865) = 26178345
Least Common Multiple (LCM) of 8859 and 8865 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8859 and 8865. First we will calculate the prime factors of 8859 and 8865.
Prime Factorization of 8859
Prime factors of 8859 are 3, 2953. Prime factorization of 8859 in exponential form is:
8859 = 31 × 29531
Prime Factorization of 8865
Prime factors of 8865 are 3, 5, 197. Prime factorization of 8865 in exponential form is:
8865 = 32 × 51 × 1971
Now multiplying the highest exponent prime factors to calculate the LCM of 8859 and 8865.
LCM(8859,8865) = 32 × 29531 × 51 × 1971
LCM(8859,8865) = 26178345
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