What is the Least Common Multiple of 34188 and 34199?

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 34188 and 34199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34188 and 34199, than apply into the LCM equation.

GCF(34188,34199) = 11
LCM(34188,34199) = ( 34188 × 34199) / 11
LCM(34188,34199) = 1169195412 / 11
LCM(34188,34199) = 106290492

Least Common Multiple (LCM) of 34188 and 34199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34188 and 34199. First we will calculate the prime factors of 34188 and 34199.

Prime Factorization of 34188

Prime Factorization of 34199

Now multiplying the highest exponent prime factors to calculate the LCM of 34188 and 34199.

LCM(34188,34199) = 2² × 3¹ × 7¹ × 11¹ × 37¹ × 3109¹
LCM(34188,34199) = 106290492