What is the Least Common Multiple of 92817 and 92826?
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 92817 and 92826 is 957314538.
LCM(92817,92826) = 957314538
Least Common Multiple of 92817 and 92826 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92817 and 92826, than apply into the LCM equation.
GCF(92817,92826) = 9
LCM(92817,92826) = ( 92817 × 92826) / 9
LCM(92817,92826) = 8615830842 / 9
LCM(92817,92826) = 957314538
Least Common Multiple (LCM) of 92817 and 92826 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92817 and 92826. First we will calculate the prime factors of 92817 and 92826.
Prime Factorization of 92817
Prime factors of 92817 are 3, 10313. Prime factorization of 92817 in exponential form is:
92817 = 32 × 103131
Prime Factorization of 92826
Prime factors of 92826 are 2, 3, 191. Prime factorization of 92826 in exponential form is:
92826 = 21 × 35 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 92817 and 92826.
LCM(92817,92826) = 35 × 103131 × 21 × 1911
LCM(92817,92826) = 957314538
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