GCF and LCM Calculator Logo

What is the Least Common Multiple of 67885 and 67893?

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 67885 and 67893 is 4608916305.

LCM(67885,67893) = 4608916305

LCM Calculator and
and

Least Common Multiple of 67885 and 67893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67885 and 67893, than apply into the LCM equation.

GCF(67885,67893) = 1
LCM(67885,67893) = ( 67885 × 67893) / 1
LCM(67885,67893) = 4608916305 / 1
LCM(67885,67893) = 4608916305

Least Common Multiple (LCM) of 67885 and 67893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67885 and 67893. First we will calculate the prime factors of 67885 and 67893.

Prime Factorization of 67885

Prime factors of 67885 are 5, 13577. Prime factorization of 67885 in exponential form is:

67885 = 51 × 135771

Prime Factorization of 67893

Prime factors of 67893 are 3, 7, 53, 61. Prime factorization of 67893 in exponential form is:

67893 = 31 × 71 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 67885 and 67893.

LCM(67885,67893) = 51 × 135771 × 31 × 71 × 531 × 611
LCM(67885,67893) = 4608916305