What is the Least Common Multiple of 94397 and 94401?
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 94397 and 94401 is 8911171197.
LCM(94397,94401) = 8911171197
Least Common Multiple of 94397 and 94401 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94397 and 94401, than apply into the LCM equation.
GCF(94397,94401) = 1
LCM(94397,94401) = ( 94397 × 94401) / 1
LCM(94397,94401) = 8911171197 / 1
LCM(94397,94401) = 8911171197
Least Common Multiple (LCM) of 94397 and 94401 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94397 and 94401. First we will calculate the prime factors of 94397 and 94401.
Prime Factorization of 94397
Prime factors of 94397 are 94397. Prime factorization of 94397 in exponential form is:
94397 = 943971
Prime Factorization of 94401
Prime factors of 94401 are 3, 17, 617. Prime factorization of 94401 in exponential form is:
94401 = 32 × 171 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 94397 and 94401.
LCM(94397,94401) = 943971 × 32 × 171 × 6171
LCM(94397,94401) = 8911171197
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