What is the Least Common Multiple of 17028 and 17040?

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 17028 and 17040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17028 and 17040, than apply into the LCM equation.

GCF(17028,17040) = 12
LCM(17028,17040) = ( 17028 × 17040) / 12
LCM(17028,17040) = 290157120 / 12
LCM(17028,17040) = 24179760

Least Common Multiple (LCM) of 17028 and 17040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17028 and 17040. First we will calculate the prime factors of 17028 and 17040.

Prime Factorization of 17028

Prime Factorization of 17040

Now multiplying the highest exponent prime factors to calculate the LCM of 17028 and 17040.

LCM(17028,17040) = 2⁴ × 3² × 11¹ × 43¹ × 5¹ × 71¹
LCM(17028,17040) = 24179760