What is the Least Common Multiple of 94168 and 94173?
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 94168 and 94173 is 8868083064.
LCM(94168,94173) = 8868083064
Least Common Multiple of 94168 and 94173 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94168 and 94173, than apply into the LCM equation.
GCF(94168,94173) = 1
LCM(94168,94173) = ( 94168 × 94173) / 1
LCM(94168,94173) = 8868083064 / 1
LCM(94168,94173) = 8868083064
Least Common Multiple (LCM) of 94168 and 94173 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94168 and 94173. First we will calculate the prime factors of 94168 and 94173.
Prime Factorization of 94168
Prime factors of 94168 are 2, 79, 149. Prime factorization of 94168 in exponential form is:
94168 = 23 × 791 × 1491
Prime Factorization of 94173
Prime factors of 94173 are 3, 31391. Prime factorization of 94173 in exponential form is:
94173 = 31 × 313911
Now multiplying the highest exponent prime factors to calculate the LCM of 94168 and 94173.
LCM(94168,94173) = 23 × 791 × 1491 × 31 × 313911
LCM(94168,94173) = 8868083064
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