Least Common Multiple of 3397 and 3404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3397 and 3404 the smallest integer that is 11563388 that is divisible by both numbers.

Least Common Multiple (LCM) of 3397 and 3404 is 11563388.

LCM(3397,3404) = 11563388

LCM of 3397 and 3404

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3397 and 3404

LCM of 3397 and 3404 is 11563388

Least common multiple can be found by multiplying the highest exponent prime factors of 3397 and 3404. First we will calculate the prime factors of 3397 and 3404.

Prime Factorization of 3397


43 3397
79 79
1

Prime factors of 3397 are 43,79. Prime factorization of 3397 in exponential form is:

3397 = 431×791

Prime Factorization of 3404


2 3404
2 1702
23 851
37 37
1

Prime factors of 3404 are 2, 23,37. Prime factorization of 3404 in exponential form is:

3404 = 22×231×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3397 and 3404.

LCM(3397,3404) = 22×231×371×431×791
LCM(3397,3404) = 11563388

Factors of 3397

List of positive integer factors of 3397 that divides 3397 without a remainder.

1, 43, 79, 3397

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404

Least Common Multiple of 3397 and 3404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3397 and 3404, than apply into the LCM equation.

GCF(3397,3404) = 1
LCM(3397,3404) = ( 3397 × 3404) / 1
LCM(3397,3404) = 11563388 / 1
LCM(3397,3404) = 11563388

Properties of LCM 3397 and 3404

(i) The LCM of 3404 and 3397 is associative

LCM of 3397 and 3404 = LCM of 3404 and 3397

Related Least Common Multiples of 3397

Related Least Common Multiples of 3404

Frequently Asked Questions on LCM of 3397 and 3404

1. What is the LCM of 3397 and 3404?

Answer: LCM of 3397 and 3404 is 11563388.

2. What are the Factors of 3397?

Answer: Factors of 3397 are 1, 43, 79, 3397. There are 4 integers that are factors of 3397. The greatest factor of 3397 is 3397.

3. What are the Factors of 3404?

Answer: Factors of 3404 are 1, 2, 4, 23, 37, 46, 74, 92, 148, 851, 1702, 3404. There are 12 integers that are factors of 3404. The greatest factor of 3404 is 3404.

4. How to Find the LCM of 3397 and 3404?

Answer:

Least Common Multiple of 3397 and 3404 = 11563388

Step 1: Find the prime factorization of 3397

3397 = 43 x 79

Step 2: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 11563388 = 2 x 2 x 23 x 37 x 43 x 79

Step 4: Therefore, the least common multiple of 3397 and 3404 is 11563388.