What is the Least Common Multiple of 92670 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 92670 and 92686 is 4294605810.
LCM(92670,92686) = 4294605810
Least Common Multiple of 92670 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 92670 and 92686, than apply into the LCM equation.
GCF(92670,92686) = 2
LCM(92670,92686) = ( 92670 × 92686) / 2
LCM(92670,92686) = 8589211620 / 2
LCM(92670,92686) = 4294605810
Least Common Multiple (LCM) of 92670 and 92686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92670 and 92686. First we will calculate the prime factors of 92670 and 92686.
Prime Factorization of 92670
Prime factors of 92670 are 2, 3, 5, 3089. Prime factorization of 92670 in exponential form is:
92670 = 21 × 31 × 51 × 30891
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 92670 and 92686.
LCM(92670,92686) = 21 × 31 × 51 × 30891 × 112 × 3831
LCM(92670,92686) = 4294605810
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