GCF and LCM Calculator Logo

What is the Least Common Multiple of 94281 and 94301?

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 94281 and 94301 is 8890792581.

LCM(94281,94301) = 8890792581

LCM Calculator and
and

Least Common Multiple of 94281 and 94301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94281 and 94301, than apply into the LCM equation.

GCF(94281,94301) = 1
LCM(94281,94301) = ( 94281 × 94301) / 1
LCM(94281,94301) = 8890792581 / 1
LCM(94281,94301) = 8890792581

Least Common Multiple (LCM) of 94281 and 94301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94281 and 94301. First we will calculate the prime factors of 94281 and 94301.

Prime Factorization of 94281

Prime factors of 94281 are 3, 11, 2857. Prime factorization of 94281 in exponential form is:

94281 = 31 × 111 × 28571

Prime Factorization of 94301

Prime factors of 94301 are 181, 521. Prime factorization of 94301 in exponential form is:

94301 = 1811 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 94281 and 94301.

LCM(94281,94301) = 31 × 111 × 28571 × 1811 × 5211
LCM(94281,94301) = 8890792581