What is the Least Common Multiple of 94093 and 94097?
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 94093 and 94097 is 8853869021.
LCM(94093,94097) = 8853869021
Least Common Multiple of 94093 and 94097 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94093 and 94097, than apply into the LCM equation.
GCF(94093,94097) = 1
LCM(94093,94097) = ( 94093 × 94097) / 1
LCM(94093,94097) = 8853869021 / 1
LCM(94093,94097) = 8853869021
Least Common Multiple (LCM) of 94093 and 94097 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94093 and 94097. First we will calculate the prime factors of 94093 and 94097.
Prime Factorization of 94093
Prime factors of 94093 are 23, 4091. Prime factorization of 94093 in exponential form is:
94093 = 231 × 40911
Prime Factorization of 94097
Prime factors of 94097 are 73, 1289. Prime factorization of 94097 in exponential form is:
94097 = 731 × 12891
Now multiplying the highest exponent prime factors to calculate the LCM of 94093 and 94097.
LCM(94093,94097) = 231 × 40911 × 731 × 12891
LCM(94093,94097) = 8853869021
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