What is the Least Common Multiple of 33728 and 33745?

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 33728 and 33745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33728 and 33745, than apply into the LCM equation.

GCF(33728,33745) = 17
LCM(33728,33745) = ( 33728 × 33745) / 17
LCM(33728,33745) = 1138151360 / 17
LCM(33728,33745) = 66950080

Least Common Multiple (LCM) of 33728 and 33745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33728 and 33745. First we will calculate the prime factors of 33728 and 33745.

Prime Factorization of 33728

Prime Factorization of 33745

Now multiplying the highest exponent prime factors to calculate the LCM of 33728 and 33745.

LCM(33728,33745) = 2⁶ × 17¹ × 31¹ × 5¹ × 397¹
LCM(33728,33745) = 66950080