What is the Least Common Multiple of 17049 and 17067?

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 17049 and 17067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17049 and 17067, than apply into the LCM equation.

GCF(17049,17067) = 3
LCM(17049,17067) = ( 17049 × 17067) / 3
LCM(17049,17067) = 290975283 / 3
LCM(17049,17067) = 96991761

Least Common Multiple (LCM) of 17049 and 17067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17049 and 17067. First we will calculate the prime factors of 17049 and 17067.

Prime Factorization of 17049

Prime Factorization of 17067

Now multiplying the highest exponent prime factors to calculate the LCM of 17049 and 17067.

LCM(17049,17067) = 3¹ × 5683¹ × 5689¹
LCM(17049,17067) = 96991761