What is the Least Common Multiple of 17250 and 17264?

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 17264 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 17264, than apply into the LCM equation.

GCF(17250,17264) = 2
LCM(17250,17264) = ( 17250 × 17264) / 2
LCM(17250,17264) = 297804000 / 2
LCM(17250,17264) = 148902000

Least Common Multiple (LCM) of 17250 and 17264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17250 and 17264. First we will calculate the prime factors of 17250 and 17264.

Prime Factorization of 17250

Prime Factorization of 17264

Now multiplying the highest exponent prime factors to calculate the LCM of 17250 and 17264.

LCM(17250,17264) = 2⁴ × 3¹ × 5³ × 23¹ × 13¹ × 83¹
LCM(17250,17264) = 148902000