What is the Least Common Multiple of 17248 and 17252?

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 17248 and 17252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17248 and 17252, than apply into the LCM equation.

GCF(17248,17252) = 4
LCM(17248,17252) = ( 17248 × 17252) / 4
LCM(17248,17252) = 297562496 / 4
LCM(17248,17252) = 74390624

Least Common Multiple (LCM) of 17248 and 17252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17248 and 17252. First we will calculate the prime factors of 17248 and 17252.

Prime Factorization of 17248

Prime Factorization of 17252

Now multiplying the highest exponent prime factors to calculate the LCM of 17248 and 17252.

LCM(17248,17252) = 2⁵ × 7² × 11¹ × 19¹ × 227¹
LCM(17248,17252) = 74390624