What is the Least Common Multiple of 93677 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 93677 and 93686 is 8776223422.
LCM(93677,93686) = 8776223422
Least Common Multiple of 93677 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 93677 and 93686, than apply into the LCM equation.
GCF(93677,93686) = 1
LCM(93677,93686) = ( 93677 × 93686) / 1
LCM(93677,93686) = 8776223422 / 1
LCM(93677,93686) = 8776223422
Least Common Multiple (LCM) of 93677 and 93686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93677 and 93686. First we will calculate the prime factors of 93677 and 93686.
Prime Factorization of 93677
Prime factors of 93677 are 113, 829. Prime factorization of 93677 in exponential form is:
93677 = 1131 × 8291
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 93677 and 93686.
LCM(93677,93686) = 1131 × 8291 × 21 × 1391 × 3371
LCM(93677,93686) = 8776223422
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