What is the Least Common Multiple of 34075 and 34082?

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 34075 and 34082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34075 and 34082, than apply into the LCM equation.

GCF(34075,34082) = 1
LCM(34075,34082) = ( 34075 × 34082) / 1
LCM(34075,34082) = 1161344150 / 1
LCM(34075,34082) = 1161344150

Least Common Multiple (LCM) of 34075 and 34082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34075 and 34082. First we will calculate the prime factors of 34075 and 34082.

Prime Factorization of 34075

Prime Factorization of 34082

Now multiplying the highest exponent prime factors to calculate the LCM of 34075 and 34082.

LCM(34075,34082) = 5² × 29¹ × 47¹ × 2¹ × 17041¹
LCM(34075,34082) = 1161344150