What is the Least Common Multiple of 34388 and 34393?

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 34388 and 34393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34388 and 34393, than apply into the LCM equation.

GCF(34388,34393) = 1
LCM(34388,34393) = ( 34388 × 34393) / 1
LCM(34388,34393) = 1182706484 / 1
LCM(34388,34393) = 1182706484

Least Common Multiple (LCM) of 34388 and 34393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34388 and 34393. First we will calculate the prime factors of 34388 and 34393.

Prime Factorization of 34388

Prime Factorization of 34393

Now multiplying the highest exponent prime factors to calculate the LCM of 34388 and 34393.

LCM(34388,34393) = 2² × 8597¹ × 163¹ × 211¹
LCM(34388,34393) = 1182706484