What is the Least Common Multiple of 94173 and 94187?
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 94173 and 94187 is 8869872351.
LCM(94173,94187) = 8869872351
Least Common Multiple of 94173 and 94187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94173 and 94187, than apply into the LCM equation.
GCF(94173,94187) = 1
LCM(94173,94187) = ( 94173 × 94187) / 1
LCM(94173,94187) = 8869872351 / 1
LCM(94173,94187) = 8869872351
Least Common Multiple (LCM) of 94173 and 94187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94173 and 94187. First we will calculate the prime factors of 94173 and 94187.
Prime Factorization of 94173
Prime factors of 94173 are 3, 31391. Prime factorization of 94173 in exponential form is:
94173 = 31 × 313911
Prime Factorization of 94187
Prime factors of 94187 are 97, 971. Prime factorization of 94187 in exponential form is:
94187 = 971 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 94173 and 94187.
LCM(94173,94187) = 31 × 313911 × 971 × 9711
LCM(94173,94187) = 8869872351
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