What is the Least Common Multiple of 34174 and 34188?

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 34174 and 34188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34174 and 34188, than apply into the LCM equation.

GCF(34174,34188) = 14
LCM(34174,34188) = ( 34174 × 34188) / 14
LCM(34174,34188) = 1168340712 / 14
LCM(34174,34188) = 83452908

Least Common Multiple (LCM) of 34174 and 34188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34174 and 34188. First we will calculate the prime factors of 34174 and 34188.

Prime Factorization of 34174

Prime Factorization of 34188

Now multiplying the highest exponent prime factors to calculate the LCM of 34174 and 34188.

LCM(34174,34188) = 2² × 7¹ × 2441¹ × 3¹ × 11¹ × 37¹
LCM(34174,34188) = 83452908