What is the Least Common Multiple of 66404 and 66424?

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 66404 and 66424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66404 and 66424, than apply into the LCM equation.

GCF(66404,66424) = 4
LCM(66404,66424) = ( 66404 × 66424) / 4
LCM(66404,66424) = 4410819296 / 4
LCM(66404,66424) = 1102704824

Least Common Multiple (LCM) of 66404 and 66424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66404 and 66424. First we will calculate the prime factors of 66404 and 66424.

Prime Factorization of 66404

Prime Factorization of 66424

Now multiplying the highest exponent prime factors to calculate the LCM of 66404 and 66424.

LCM(66404,66424) = 2³ × 13¹ × 1277¹ × 19² × 23¹
LCM(66404,66424) = 1102704824