GCF and LCM Calculator Logo

What is the Least Common Multiple of 94181 and 94185?

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 94181 and 94185 is 8870437485.

LCM(94181,94185) = 8870437485

LCM Calculator and
and

Least Common Multiple of 94181 and 94185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94181 and 94185, than apply into the LCM equation.

GCF(94181,94185) = 1
LCM(94181,94185) = ( 94181 × 94185) / 1
LCM(94181,94185) = 8870437485 / 1
LCM(94181,94185) = 8870437485

Least Common Multiple (LCM) of 94181 and 94185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94181 and 94185. First we will calculate the prime factors of 94181 and 94185.

Prime Factorization of 94181

Prime factors of 94181 are 53, 1777. Prime factorization of 94181 in exponential form is:

94181 = 531 × 17771

Prime Factorization of 94185

Prime factors of 94185 are 3, 5, 7, 13, 23. Prime factorization of 94185 in exponential form is:

94185 = 32 × 51 × 71 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 94181 and 94185.

LCM(94181,94185) = 531 × 17771 × 32 × 51 × 71 × 131 × 231
LCM(94181,94185) = 8870437485