GCF and LCM Calculator Logo

What is the Least Common Multiple of 40895 and 40908?

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 40895 and 40908 is 1672932660.

LCM(40895,40908) = 1672932660

LCM Calculator and
and

Least Common Multiple of 40895 and 40908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40895 and 40908, than apply into the LCM equation.

GCF(40895,40908) = 1
LCM(40895,40908) = ( 40895 × 40908) / 1
LCM(40895,40908) = 1672932660 / 1
LCM(40895,40908) = 1672932660

Least Common Multiple (LCM) of 40895 and 40908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40895 and 40908. First we will calculate the prime factors of 40895 and 40908.

Prime Factorization of 40895

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

40895 = 51 × 81791

Prime Factorization of 40908

Prime factors of 40908 are 2, 3, 7, 487. Prime factorization of 40908 in exponential form is:

40908 = 22 × 31 × 71 × 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 40895 and 40908.

LCM(40895,40908) = 51 × 81791 × 22 × 31 × 71 × 4871
LCM(40895,40908) = 1672932660