What is the Least Common Multiple of 3396 and 3406?

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 3396 and 3406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3396 and 3406, than apply into the LCM equation.

GCF(3396,3406) = 2
LCM(3396,3406) = ( 3396 × 3406) / 2
LCM(3396,3406) = 11566776 / 2
LCM(3396,3406) = 5783388

Least Common Multiple (LCM) of 3396 and 3406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3396 and 3406. First we will calculate the prime factors of 3396 and 3406.

Prime Factorization of 3396

Prime Factorization of 3406

Now multiplying the highest exponent prime factors to calculate the LCM of 3396 and 3406.

LCM(3396,3406) = 2² × 3¹ × 283¹ × 13¹ × 131¹
LCM(3396,3406) = 5783388