What is the Least Common Multiple of 94169 and 94174?
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 94169 and 94174 is 8868271406.
LCM(94169,94174) = 8868271406
Least Common Multiple of 94169 and 94174 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94169 and 94174, than apply into the LCM equation.
GCF(94169,94174) = 1
LCM(94169,94174) = ( 94169 × 94174) / 1
LCM(94169,94174) = 8868271406 / 1
LCM(94169,94174) = 8868271406
Least Common Multiple (LCM) of 94169 and 94174 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94169 and 94174. First we will calculate the prime factors of 94169 and 94174.
Prime Factorization of 94169
Prime factors of 94169 are 94169. Prime factorization of 94169 in exponential form is:
94169 = 941691
Prime Factorization of 94174
Prime factors of 94174 are 2, 47087. Prime factorization of 94174 in exponential form is:
94174 = 21 × 470871
Now multiplying the highest exponent prime factors to calculate the LCM of 94169 and 94174.
LCM(94169,94174) = 941691 × 21 × 470871
LCM(94169,94174) = 8868271406
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