GCF and LCM Calculator Logo

What is the Least Common Multiple of 92409 and 92418?

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 92409 and 92418 is 2846751654.

LCM(92409,92418) = 2846751654

LCM Calculator and
and

Least Common Multiple of 92409 and 92418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92409 and 92418, than apply into the LCM equation.

GCF(92409,92418) = 3
LCM(92409,92418) = ( 92409 × 92418) / 3
LCM(92409,92418) = 8540254962 / 3
LCM(92409,92418) = 2846751654

Least Common Multiple (LCM) of 92409 and 92418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92409 and 92418. First we will calculate the prime factors of 92409 and 92418.

Prime Factorization of 92409

Prime factors of 92409 are 3, 30803. Prime factorization of 92409 in exponential form is:

92409 = 31 × 308031

Prime Factorization of 92418

Prime factors of 92418 are 2, 3, 73, 211. Prime factorization of 92418 in exponential form is:

92418 = 21 × 31 × 731 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 92409 and 92418.

LCM(92409,92418) = 31 × 308031 × 21 × 731 × 2111
LCM(92409,92418) = 2846751654