What is the Least Common Multiple of 34088 and 34093?

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 34088 and 34093 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34088 and 34093, than apply into the LCM equation.

GCF(34088,34093) = 1
LCM(34088,34093) = ( 34088 × 34093) / 1
LCM(34088,34093) = 1162162184 / 1
LCM(34088,34093) = 1162162184

Least Common Multiple (LCM) of 34088 and 34093 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34088 and 34093. First we will calculate the prime factors of 34088 and 34093.

Prime Factorization of 34088

Prime Factorization of 34093

Now multiplying the highest exponent prime factors to calculate the LCM of 34088 and 34093.

LCM(34088,34093) = 2³ × 4261¹ × 103¹ × 331¹
LCM(34088,34093) = 1162162184