What is the Least Common Multiple of 8681 and 8687?
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 8681 and 8687 is 75411847.
LCM(8681,8687) = 75411847
Least Common Multiple of 8681 and 8687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8681 and 8687, than apply into the LCM equation.
GCF(8681,8687) = 1
LCM(8681,8687) = ( 8681 × 8687) / 1
LCM(8681,8687) = 75411847 / 1
LCM(8681,8687) = 75411847
Least Common Multiple (LCM) of 8681 and 8687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8681 and 8687. First we will calculate the prime factors of 8681 and 8687.
Prime Factorization of 8681
Prime factors of 8681 are 8681. Prime factorization of 8681 in exponential form is:
8681 = 86811
Prime Factorization of 8687
Prime factors of 8687 are 7, 17, 73. Prime factorization of 8687 in exponential form is:
8687 = 71 × 171 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 8681 and 8687.
LCM(8681,8687) = 86811 × 71 × 171 × 731
LCM(8681,8687) = 75411847
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