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What is the Least Common Multiple of 94165 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 94165 and 94174 is 8867894710.

LCM(94165,94174) = 8867894710

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Least Common Multiple of 94165 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 94165 and 94174, than apply into the LCM equation.

GCF(94165,94174) = 1
LCM(94165,94174) = ( 94165 × 94174) / 1
LCM(94165,94174) = 8867894710 / 1
LCM(94165,94174) = 8867894710

Least Common Multiple (LCM) of 94165 and 94174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94165 and 94174. First we will calculate the prime factors of 94165 and 94174.

Prime Factorization of 94165

Prime factors of 94165 are 5, 37, 509. Prime factorization of 94165 in exponential form is:

94165 = 51 × 371 × 5091

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 94165 and 94174.

LCM(94165,94174) = 51 × 371 × 5091 × 21 × 470871
LCM(94165,94174) = 8867894710