What is the Least Common Multiple of 92681 and 92687?
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 92681 and 92687 is 8590323847.
LCM(92681,92687) = 8590323847
Least Common Multiple of 92681 and 92687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92681 and 92687, than apply into the LCM equation.
GCF(92681,92687) = 1
LCM(92681,92687) = ( 92681 × 92687) / 1
LCM(92681,92687) = 8590323847 / 1
LCM(92681,92687) = 8590323847
Least Common Multiple (LCM) of 92681 and 92687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92681 and 92687. First we will calculate the prime factors of 92681 and 92687.
Prime Factorization of 92681
Prime factors of 92681 are 92681. Prime factorization of 92681 in exponential form is:
92681 = 926811
Prime Factorization of 92687
Prime factors of 92687 are 7, 13241. Prime factorization of 92687 in exponential form is:
92687 = 71 × 132411
Now multiplying the highest exponent prime factors to calculate the LCM of 92681 and 92687.
LCM(92681,92687) = 926811 × 71 × 132411
LCM(92681,92687) = 8590323847
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