What is the Least Common Multiple of 17230 and 17250?

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 17230 and 17250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17230 and 17250, than apply into the LCM equation.

GCF(17230,17250) = 10
LCM(17230,17250) = ( 17230 × 17250) / 10
LCM(17230,17250) = 297217500 / 10
LCM(17230,17250) = 29721750

Least Common Multiple (LCM) of 17230 and 17250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17250. First we will calculate the prime factors of 17230 and 17250.

Prime Factorization of 17230

Prime Factorization of 17250

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17250.

LCM(17230,17250) = 2¹ × 5³ × 1723¹ × 3¹ × 23¹
LCM(17230,17250) = 29721750