What is the Least Common Multiple of 66424 and 66443?

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 66424 and 66443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66424 and 66443, than apply into the LCM equation.

GCF(66424,66443) = 19
LCM(66424,66443) = ( 66424 × 66443) / 19
LCM(66424,66443) = 4413409832 / 19
LCM(66424,66443) = 232284728

Least Common Multiple (LCM) of 66424 and 66443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66424 and 66443. First we will calculate the prime factors of 66424 and 66443.

Prime Factorization of 66424

Prime Factorization of 66443

Now multiplying the highest exponent prime factors to calculate the LCM of 66424 and 66443.

LCM(66424,66443) = 2³ × 19² × 23¹ × 13¹ × 269¹
LCM(66424,66443) = 232284728