GCF and LCM Calculator Logo

What is the Least Common Multiple of 94145 and 94165?

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 94145 and 94165 is 1773032785.

LCM(94145,94165) = 1773032785

LCM Calculator and
and

Least Common Multiple of 94145 and 94165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94145 and 94165, than apply into the LCM equation.

GCF(94145,94165) = 5
LCM(94145,94165) = ( 94145 × 94165) / 5
LCM(94145,94165) = 8865163925 / 5
LCM(94145,94165) = 1773032785

Least Common Multiple (LCM) of 94145 and 94165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94145 and 94165. First we will calculate the prime factors of 94145 and 94165.

Prime Factorization of 94145

Prime factors of 94145 are 5, 19, 991. Prime factorization of 94145 in exponential form is:

94145 = 51 × 191 × 9911

Prime Factorization of 94165

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

94165 = 51 × 371 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 94145 and 94165.

LCM(94145,94165) = 51 × 191 × 9911 × 371 × 5091
LCM(94145,94165) = 1773032785