GCF and LCM Calculator Logo

What is the Least Common Multiple of 8404 and 8413?

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 8404 and 8413 is 70702852.

LCM(8404,8413) = 70702852

LCM Calculator and
and

Least Common Multiple of 8404 and 8413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8404 and 8413, than apply into the LCM equation.

GCF(8404,8413) = 1
LCM(8404,8413) = ( 8404 × 8413) / 1
LCM(8404,8413) = 70702852 / 1
LCM(8404,8413) = 70702852

Least Common Multiple (LCM) of 8404 and 8413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8404 and 8413. First we will calculate the prime factors of 8404 and 8413.

Prime Factorization of 8404

Prime factors of 8404 are 2, 11, 191. Prime factorization of 8404 in exponential form is:

8404 = 22 × 111 × 1911

Prime Factorization of 8413

Prime factors of 8413 are 47, 179. Prime factorization of 8413 in exponential form is:

8413 = 471 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8404 and 8413.

LCM(8404,8413) = 22 × 111 × 1911 × 471 × 1791
LCM(8404,8413) = 70702852