Least Common Multiple of 3398 and 3403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3398 and 3403 the smallest integer that is 11563394 that is divisible by both numbers.

Least Common Multiple (LCM) of 3398 and 3403 is 11563394.

LCM(3398,3403) = 11563394

LCM of 3398 and 3403

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

LCM of:
and

Least Common Multiple of 3398 and 3403

LCM of 3398 and 3403 is 11563394

Least common multiple can be found by multiplying the highest exponent prime factors of 3398 and 3403. First we will calculate the prime factors of 3398 and 3403.

Prime Factorization of 3398


2 3398
1699 1699
1

Prime factors of 3398 are 2,1699. Prime factorization of 3398 in exponential form is:

3398 = 21×16991

Prime Factorization of 3403


41 3403
83 83
1

Prime factors of 3403 are 41,83. Prime factorization of 3403 in exponential form is:

3403 = 411×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3398 and 3403.

LCM(3398,3403) = 21×411×831×16991
LCM(3398,3403) = 11563394

Factors of 3398

List of positive integer factors of 3398 that divides 3398 without a remainder.

1, 2, 1699, 3398

Factors of 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1, 41, 83, 3403

Least Common Multiple of 3398 and 3403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3398 and 3403, than apply into the LCM equation.

GCF(3398,3403) = 1
LCM(3398,3403) = ( 3398 × 3403) / 1
LCM(3398,3403) = 11563394 / 1
LCM(3398,3403) = 11563394

Properties of LCM 3398 and 3403

(i) The LCM of 3403 and 3398 is associative

LCM of 3398 and 3403 = LCM of 3403 and 3398

Related Least Common Multiples of 3398

Related Least Common Multiples of 3403

Frequently Asked Questions on LCM of 3398 and 3403

1. What is the LCM of 3398 and 3403?

Answer: LCM of 3398 and 3403 is 11563394.

2. What are the Factors of 3398?

Answer: Factors of 3398 are 1, 2, 1699, 3398. There are 4 integers that are factors of 3398. The greatest factor of 3398 is 3398.

3. What are the Factors of 3403?

Answer: Factors of 3403 are 1, 41, 83, 3403. There are 4 integers that are factors of 3403. The greatest factor of 3403 is 3403.

4. How to Find the LCM of 3398 and 3403?

Answer:

Least Common Multiple of 3398 and 3403 = 11563394

Step 1: Find the prime factorization of 3398

3398 = 2 x 1699

Step 2: Find the prime factorization of 3403

3403 = 41 x 83

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

LCM = 11563394 = 2 x 41 x 83 x 1699

Step 4: Therefore, the least common multiple of 3398 and 3403 is 11563394.