What is the Least Common Multiple of 3380 and 3394?

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 3380 and 3394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3380 and 3394, than apply into the LCM equation.

GCF(3380,3394) = 2
LCM(3380,3394) = ( 3380 × 3394) / 2
LCM(3380,3394) = 11471720 / 2
LCM(3380,3394) = 5735860

Least Common Multiple (LCM) of 3380 and 3394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3380 and 3394. First we will calculate the prime factors of 3380 and 3394.

Prime Factorization of 3380

Prime Factorization of 3394

Now multiplying the highest exponent prime factors to calculate the LCM of 3380 and 3394.

LCM(3380,3394) = 2² × 5¹ × 13² × 1697¹
LCM(3380,3394) = 5735860