What is the Least Common Multiple of 41174 and 41189?

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 41174 and 41189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41174 and 41189, than apply into the LCM equation.

GCF(41174,41189) = 1
LCM(41174,41189) = ( 41174 × 41189) / 1
LCM(41174,41189) = 1695915886 / 1
LCM(41174,41189) = 1695915886

Least Common Multiple (LCM) of 41174 and 41189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41174 and 41189. First we will calculate the prime factors of 41174 and 41189.

Prime Factorization of 41174

Prime Factorization of 41189

Now multiplying the highest exponent prime factors to calculate the LCM of 41174 and 41189.

LCM(41174,41189) = 2¹ × 7¹ × 17¹ × 173¹ × 41189¹
LCM(41174,41189) = 1695915886