What is the Least Common Multiple of 17250 and 17266?

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 17266 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 17266, than apply into the LCM equation.

GCF(17250,17266) = 2
LCM(17250,17266) = ( 17250 × 17266) / 2
LCM(17250,17266) = 297838500 / 2
LCM(17250,17266) = 148919250

Least Common Multiple (LCM) of 17250 and 17266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17250 and 17266. First we will calculate the prime factors of 17250 and 17266.

Prime Factorization of 17250

Prime Factorization of 17266

Now multiplying the highest exponent prime factors to calculate the LCM of 17250 and 17266.

LCM(17250,17266) = 2¹ × 3¹ × 5³ × 23¹ × 89¹ × 97¹
LCM(17250,17266) = 148919250