What is the Least Common Multiple of 92686 and 92701?
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 92686 and 92701 is 8592084886.
LCM(92686,92701) = 8592084886
Least Common Multiple of 92686 and 92701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92686 and 92701, than apply into the LCM equation.
GCF(92686,92701) = 1
LCM(92686,92701) = ( 92686 × 92701) / 1
LCM(92686,92701) = 8592084886 / 1
LCM(92686,92701) = 8592084886
Least Common Multiple (LCM) of 92686 and 92701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92686 and 92701. First we will calculate the prime factors of 92686 and 92701.
Prime Factorization of 92686
Prime factors of 92686 are 2, 11, 383. Prime factorization of 92686 in exponential form is:
92686 = 21 × 112 × 3831
Prime Factorization of 92701
Prime factors of 92701 are 7, 17, 19, 41. Prime factorization of 92701 in exponential form is:
92701 = 71 × 171 × 191 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 92686 and 92701.
LCM(92686,92701) = 21 × 112 × 3831 × 71 × 171 × 191 × 411
LCM(92686,92701) = 8592084886
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