What is the Least Common Multiple of 34178 and 34198?

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 34178 and 34198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34178 and 34198, than apply into the LCM equation.

GCF(34178,34198) = 2
LCM(34178,34198) = ( 34178 × 34198) / 2
LCM(34178,34198) = 1168819244 / 2
LCM(34178,34198) = 584409622

Least Common Multiple (LCM) of 34178 and 34198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34178 and 34198. First we will calculate the prime factors of 34178 and 34198.

Prime Factorization of 34178

Prime Factorization of 34198

Now multiplying the highest exponent prime factors to calculate the LCM of 34178 and 34198.

LCM(34178,34198) = 2¹ × 23¹ × 743¹ × 17099¹
LCM(34178,34198) = 584409622