What is the Least Common Multiple of 43160 and 43174?

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 43160 and 43174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43160 and 43174, than apply into the LCM equation.

GCF(43160,43174) = 2
LCM(43160,43174) = ( 43160 × 43174) / 2
LCM(43160,43174) = 1863389840 / 2
LCM(43160,43174) = 931694920

Least Common Multiple (LCM) of 43160 and 43174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43160 and 43174. First we will calculate the prime factors of 43160 and 43174.

Prime Factorization of 43160

Prime Factorization of 43174

Now multiplying the highest exponent prime factors to calculate the LCM of 43160 and 43174.

LCM(43160,43174) = 2³ × 5¹ × 13¹ × 83¹ × 21587¹
LCM(43160,43174) = 931694920