What is the Least Common Multiple of 17160 and 17174?

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 17160 and 17174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17160 and 17174, than apply into the LCM equation.

GCF(17160,17174) = 2
LCM(17160,17174) = ( 17160 × 17174) / 2
LCM(17160,17174) = 294705840 / 2
LCM(17160,17174) = 147352920

Least Common Multiple (LCM) of 17160 and 17174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17160 and 17174. First we will calculate the prime factors of 17160 and 17174.

Prime Factorization of 17160

Prime Factorization of 17174

Now multiplying the highest exponent prime factors to calculate the LCM of 17160 and 17174.

LCM(17160,17174) = 2³ × 3¹ × 5¹ × 11¹ × 13¹ × 31¹ × 277¹
LCM(17160,17174) = 147352920