What is the Least Common Multiple of 41160 and 41174?

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 41160 and 41174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41160 and 41174, than apply into the LCM equation.

GCF(41160,41174) = 14
LCM(41160,41174) = ( 41160 × 41174) / 14
LCM(41160,41174) = 1694721840 / 14
LCM(41160,41174) = 121051560

Least Common Multiple (LCM) of 41160 and 41174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41160 and 41174. First we will calculate the prime factors of 41160 and 41174.

Prime Factorization of 41160

Prime Factorization of 41174

Now multiplying the highest exponent prime factors to calculate the LCM of 41160 and 41174.

LCM(41160,41174) = 2³ × 3¹ × 5¹ × 7³ × 17¹ × 173¹
LCM(41160,41174) = 121051560