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 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 Factorization of 8413

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