GCF and LCM Calculator Logo

What is the Least Common Multiple of 92841 and 92845?

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 92841 and 92845 is 8619822645.

LCM(92841,92845) = 8619822645

LCM Calculator and
and

Least Common Multiple of 92841 and 92845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92841 and 92845, than apply into the LCM equation.

GCF(92841,92845) = 1
LCM(92841,92845) = ( 92841 × 92845) / 1
LCM(92841,92845) = 8619822645 / 1
LCM(92841,92845) = 8619822645

Least Common Multiple (LCM) of 92841 and 92845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92841 and 92845. First we will calculate the prime factors of 92841 and 92845.

Prime Factorization of 92841

Prime factors of 92841 are 3, 7, 4421. Prime factorization of 92841 in exponential form is:

92841 = 31 × 71 × 44211

Prime Factorization of 92845

Prime factors of 92845 are 5, 31, 599. Prime factorization of 92845 in exponential form is:

92845 = 51 × 311 × 5991

Now multiplying the highest exponent prime factors to calculate the LCM of 92841 and 92845.

LCM(92841,92845) = 31 × 71 × 44211 × 51 × 311 × 5991
LCM(92841,92845) = 8619822645