What is the Least Common Multiple of 17192 and 17201?

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 17192 and 17201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17192 and 17201, than apply into the LCM equation.

GCF(17192,17201) = 1
LCM(17192,17201) = ( 17192 × 17201) / 1
LCM(17192,17201) = 295719592 / 1
LCM(17192,17201) = 295719592

Least Common Multiple (LCM) of 17192 and 17201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17192 and 17201. First we will calculate the prime factors of 17192 and 17201.

Prime Factorization of 17192

Prime Factorization of 17201

Now multiplying the highest exponent prime factors to calculate the LCM of 17192 and 17201.

LCM(17192,17201) = 2³ × 7¹ × 307¹ × 103¹ × 167¹
LCM(17192,17201) = 295719592