What is the Least Common Multiple of 92687 and 92706?
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 92687 and 92706 is 8592641022.
LCM(92687,92706) = 8592641022
Least Common Multiple of 92687 and 92706 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92687 and 92706, than apply into the LCM equation.
GCF(92687,92706) = 1
LCM(92687,92706) = ( 92687 × 92706) / 1
LCM(92687,92706) = 8592641022 / 1
LCM(92687,92706) = 8592641022
Least Common Multiple (LCM) of 92687 and 92706 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92687 and 92706. First we will calculate the prime factors of 92687 and 92706.
Prime Factorization of 92687
Prime factors of 92687 are 7, 13241. Prime factorization of 92687 in exponential form is:
92687 = 71 × 132411
Prime Factorization of 92706
Prime factors of 92706 are 2, 3, 15451. Prime factorization of 92706 in exponential form is:
92706 = 21 × 31 × 154511
Now multiplying the highest exponent prime factors to calculate the LCM of 92687 and 92706.
LCM(92687,92706) = 71 × 132411 × 21 × 31 × 154511
LCM(92687,92706) = 8592641022
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