GCF and LCM Calculator Logo

What is the Least Common Multiple of 94154 and 94171?

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 94154 and 94171 is 8866576334.

LCM(94154,94171) = 8866576334

LCM Calculator and
and

Least Common Multiple of 94154 and 94171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94154 and 94171, than apply into the LCM equation.

GCF(94154,94171) = 1
LCM(94154,94171) = ( 94154 × 94171) / 1
LCM(94154,94171) = 8866576334 / 1
LCM(94154,94171) = 8866576334

Least Common Multiple (LCM) of 94154 and 94171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94154 and 94171. First we will calculate the prime factors of 94154 and 94171.

Prime Factorization of 94154

Prime factors of 94154 are 2, 179, 263. Prime factorization of 94154 in exponential form is:

94154 = 21 × 1791 × 2631

Prime Factorization of 94171

Prime factors of 94171 are 7, 11, 1223. Prime factorization of 94171 in exponential form is:

94171 = 71 × 111 × 12231

Now multiplying the highest exponent prime factors to calculate the LCM of 94154 and 94171.

LCM(94154,94171) = 21 × 1791 × 2631 × 71 × 111 × 12231
LCM(94154,94171) = 8866576334