What is the Least Common Multiple of 93681 and 93686?
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 93681 and 93686 is 8776598166.
LCM(93681,93686) = 8776598166
Least Common Multiple of 93681 and 93686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93681 and 93686, than apply into the LCM equation.
GCF(93681,93686) = 1
LCM(93681,93686) = ( 93681 × 93686) / 1
LCM(93681,93686) = 8776598166 / 1
LCM(93681,93686) = 8776598166
Least Common Multiple (LCM) of 93681 and 93686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93681 and 93686. First we will calculate the prime factors of 93681 and 93686.
Prime Factorization of 93681
Prime factors of 93681 are 3, 7, 1487. Prime factorization of 93681 in exponential form is:
93681 = 32 × 71 × 14871
Prime Factorization of 93686
Prime factors of 93686 are 2, 139, 337. Prime factorization of 93686 in exponential form is:
93686 = 21 × 1391 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 93681 and 93686.
LCM(93681,93686) = 32 × 71 × 14871 × 21 × 1391 × 3371
LCM(93681,93686) = 8776598166
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