What is the Least Common Multiple of 3346 and 3353?

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 3346 and 3353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3346 and 3353, than apply into the LCM equation.

GCF(3346,3353) = 7
LCM(3346,3353) = ( 3346 × 3353) / 7
LCM(3346,3353) = 11219138 / 7
LCM(3346,3353) = 1602734

Least Common Multiple (LCM) of 3346 and 3353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3346 and 3353. First we will calculate the prime factors of 3346 and 3353.

Prime Factorization of 3346

Prime Factorization of 3353

Now multiplying the highest exponent prime factors to calculate the LCM of 3346 and 3353.

LCM(3346,3353) = 2¹ × 7¹ × 239¹ × 479¹
LCM(3346,3353) = 1602734