What is the Least Common Multiple of 17174 and 17178?

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 17174 and 17178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17174 and 17178, than apply into the LCM equation.

GCF(17174,17178) = 2
LCM(17174,17178) = ( 17174 × 17178) / 2
LCM(17174,17178) = 295014972 / 2
LCM(17174,17178) = 147507486

Least Common Multiple (LCM) of 17174 and 17178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17174 and 17178. First we will calculate the prime factors of 17174 and 17178.

Prime Factorization of 17174

Prime Factorization of 17178

Now multiplying the highest exponent prime factors to calculate the LCM of 17174 and 17178.

LCM(17174,17178) = 2¹ × 31¹ × 277¹ × 3¹ × 7¹ × 409¹
LCM(17174,17178) = 147507486