What is the Least Common Multiple of 34380 and 34384?

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 34384 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 34384, than apply into the LCM equation.

GCF(34380,34384) = 4
LCM(34380,34384) = ( 34380 × 34384) / 4
LCM(34380,34384) = 1182121920 / 4
LCM(34380,34384) = 295530480

Least Common Multiple (LCM) of 34380 and 34384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34380 and 34384. First we will calculate the prime factors of 34380 and 34384.

Prime Factorization of 34380

Prime Factorization of 34384

Now multiplying the highest exponent prime factors to calculate the LCM of 34380 and 34384.

LCM(34380,34384) = 2⁴ × 3² × 5¹ × 191¹ × 7¹ × 307¹
LCM(34380,34384) = 295530480