What is the Least Common Multiple of 17184 and 17192?

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 17184 and 17192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17184 and 17192, than apply into the LCM equation.

GCF(17184,17192) = 8
LCM(17184,17192) = ( 17184 × 17192) / 8
LCM(17184,17192) = 295427328 / 8
LCM(17184,17192) = 36928416

Least Common Multiple (LCM) of 17184 and 17192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17184 and 17192. First we will calculate the prime factors of 17184 and 17192.

Prime Factorization of 17184

Prime Factorization of 17192

Now multiplying the highest exponent prime factors to calculate the LCM of 17184 and 17192.

LCM(17184,17192) = 2⁵ × 3¹ × 179¹ × 7¹ × 307¹
LCM(17184,17192) = 36928416