What is the Least Common Multiple of 17272 and 17289?

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 17272 and 17289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17272 and 17289, than apply into the LCM equation.

GCF(17272,17289) = 17
LCM(17272,17289) = ( 17272 × 17289) / 17
LCM(17272,17289) = 298615608 / 17
LCM(17272,17289) = 17565624

Least Common Multiple (LCM) of 17272 and 17289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17272 and 17289. First we will calculate the prime factors of 17272 and 17289.

Prime Factorization of 17272

Prime Factorization of 17289

Now multiplying the highest exponent prime factors to calculate the LCM of 17272 and 17289.

LCM(17272,17289) = 2³ × 17¹ × 127¹ × 3² × 113¹
LCM(17272,17289) = 17565624