What is the Least Common Multiple of 3370 and 3386?

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 3370 and 3386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3370 and 3386, than apply into the LCM equation.

GCF(3370,3386) = 2
LCM(3370,3386) = ( 3370 × 3386) / 2
LCM(3370,3386) = 11410820 / 2
LCM(3370,3386) = 5705410

Least Common Multiple (LCM) of 3370 and 3386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3370 and 3386. First we will calculate the prime factors of 3370 and 3386.

Prime Factorization of 3370

Prime Factorization of 3386

Now multiplying the highest exponent prime factors to calculate the LCM of 3370 and 3386.

LCM(3370,3386) = 2¹ × 5¹ × 337¹ × 1693¹
LCM(3370,3386) = 5705410