What is the Least Common Multiple of 92715 and 92723?
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 92715 and 92723 is 8596812945.
LCM(92715,92723) = 8596812945
Least Common Multiple of 92715 and 92723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92715 and 92723, than apply into the LCM equation.
GCF(92715,92723) = 1
LCM(92715,92723) = ( 92715 × 92723) / 1
LCM(92715,92723) = 8596812945 / 1
LCM(92715,92723) = 8596812945
Least Common Multiple (LCM) of 92715 and 92723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92715 and 92723. First we will calculate the prime factors of 92715 and 92723.
Prime Factorization of 92715
Prime factors of 92715 are 3, 5, 7, 883. Prime factorization of 92715 in exponential form is:
92715 = 31 × 51 × 71 × 8831
Prime Factorization of 92723
Prime factors of 92723 are 92723. Prime factorization of 92723 in exponential form is:
92723 = 927231
Now multiplying the highest exponent prime factors to calculate the LCM of 92715 and 92723.
LCM(92715,92723) = 31 × 51 × 71 × 8831 × 927231
LCM(92715,92723) = 8596812945
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