What is the Least Common Multiple of 34380 and 34396?

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 34380 and 34396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34380 and 34396, than apply into the LCM equation.

GCF(34380,34396) = 4
LCM(34380,34396) = ( 34380 × 34396) / 4
LCM(34380,34396) = 1182534480 / 4
LCM(34380,34396) = 295633620

Least Common Multiple (LCM) of 34380 and 34396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34380 and 34396. First we will calculate the prime factors of 34380 and 34396.

Prime Factorization of 34380

Prime Factorization of 34396

Now multiplying the highest exponent prime factors to calculate the LCM of 34380 and 34396.

LCM(34380,34396) = 2² × 3² × 5¹ × 191¹ × 8599¹
LCM(34380,34396) = 295633620