GCF and LCM Calculator Logo

What is the Least Common Multiple of 40882 and 40895?

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 40882 and 40895 is 1671869390.

LCM(40882,40895) = 1671869390

LCM Calculator and
and

Least Common Multiple of 40882 and 40895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40882 and 40895, than apply into the LCM equation.

GCF(40882,40895) = 1
LCM(40882,40895) = ( 40882 × 40895) / 1
LCM(40882,40895) = 1671869390 / 1
LCM(40882,40895) = 1671869390

Least Common Multiple (LCM) of 40882 and 40895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40882 and 40895. First we will calculate the prime factors of 40882 and 40895.

Prime Factorization of 40882

Prime factors of 40882 are 2, 20441. Prime factorization of 40882 in exponential form is:

40882 = 21 × 204411

Prime Factorization of 40895

Prime factors of 40895 are 5, 8179. Prime factorization of 40895 in exponential form is:

40895 = 51 × 81791

Now multiplying the highest exponent prime factors to calculate the LCM of 40882 and 40895.

LCM(40882,40895) = 21 × 204411 × 51 × 81791
LCM(40882,40895) = 1671869390