What is the Least Common Multiple of 92677 and 92686?
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 92677 and 92686 is 8589860422.
LCM(92677,92686) = 8589860422
Least Common Multiple of 92677 and 92686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92677 and 92686, than apply into the LCM equation.
GCF(92677,92686) = 1
LCM(92677,92686) = ( 92677 × 92686) / 1
LCM(92677,92686) = 8589860422 / 1
LCM(92677,92686) = 8589860422
Least Common Multiple (LCM) of 92677 and 92686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92677 and 92686. First we will calculate the prime factors of 92677 and 92686.
Prime Factorization of 92677
Prime factors of 92677 are 13, 7129. Prime factorization of 92677 in exponential form is:
92677 = 131 × 71291
Prime Factorization of 92686
Prime factors of 92686 are 2, 11, 383. Prime factorization of 92686 in exponential form is:
92686 = 21 × 112 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 92677 and 92686.
LCM(92677,92686) = 131 × 71291 × 21 × 112 × 3831
LCM(92677,92686) = 8589860422
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