What is the Least Common Multiple of 66404 and 66421?

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 66421 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 66421, than apply into the LCM equation.

GCF(66404,66421) = 1
LCM(66404,66421) = ( 66404 × 66421) / 1
LCM(66404,66421) = 4410620084 / 1
LCM(66404,66421) = 4410620084

Least Common Multiple (LCM) of 66404 and 66421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66404 and 66421. First we will calculate the prime factors of 66404 and 66421.

Prime Factorization of 66404

Prime Factorization of 66421

Now multiplying the highest exponent prime factors to calculate the LCM of 66404 and 66421.

LCM(66404,66421) = 2² × 13¹ × 1277¹ × 127¹ × 523¹
LCM(66404,66421) = 4410620084