What is the Least Common Multiple of 6404 and 6408?

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 6404 and 6408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6404 and 6408, than apply into the LCM equation.

GCF(6404,6408) = 4
LCM(6404,6408) = ( 6404 × 6408) / 4
LCM(6404,6408) = 41036832 / 4
LCM(6404,6408) = 10259208

Least Common Multiple (LCM) of 6404 and 6408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6404 and 6408. First we will calculate the prime factors of 6404 and 6408.

Prime Factorization of 6404

Prime Factorization of 6408

Now multiplying the highest exponent prime factors to calculate the LCM of 6404 and 6408.

LCM(6404,6408) = 2³ × 1601¹ × 3² × 89¹
LCM(6404,6408) = 10259208