What is the Least Common Multiple of 17250 and 17255?

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 17250 and 17255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17250 and 17255, than apply into the LCM equation.

GCF(17250,17255) = 5
LCM(17250,17255) = ( 17250 × 17255) / 5
LCM(17250,17255) = 297648750 / 5
LCM(17250,17255) = 59529750

Least Common Multiple (LCM) of 17250 and 17255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17250 and 17255. First we will calculate the prime factors of 17250 and 17255.

Prime Factorization of 17250

Prime Factorization of 17255

Now multiplying the highest exponent prime factors to calculate the LCM of 17250 and 17255.

LCM(17250,17255) = 2¹ × 3¹ × 5³ × 23¹ × 7¹ × 17¹ × 29¹
LCM(17250,17255) = 59529750