What is the Least Common Multiple of 17230 and 17248?

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 17248 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 17248, than apply into the LCM equation.

GCF(17230,17248) = 2
LCM(17230,17248) = ( 17230 × 17248) / 2
LCM(17230,17248) = 297183040 / 2
LCM(17230,17248) = 148591520

Least Common Multiple (LCM) of 17230 and 17248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17230 and 17248. First we will calculate the prime factors of 17230 and 17248.

Prime Factorization of 17230

Prime Factorization of 17248

Now multiplying the highest exponent prime factors to calculate the LCM of 17230 and 17248.

LCM(17230,17248) = 2⁵ × 5¹ × 1723¹ × 7² × 11¹
LCM(17230,17248) = 148591520