Least Common Multiple of 3403 and 3409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3403 and 3409 the smallest integer that is 11600827 that is divisible by both numbers.

Least Common Multiple (LCM) of 3403 and 3409 is 11600827.

LCM(3403,3409) = 11600827

LCM of 3403 and 3409

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

LCM of:
and

Least Common Multiple of 3403 and 3409

LCM of 3403 and 3409 is 11600827

Least common multiple can be found by multiplying the highest exponent prime factors of 3403 and 3409. First we will calculate the prime factors of 3403 and 3409.

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

Prime Factorization of 3409


7 3409
487 487
1

Prime factors of 3409 are 7,487. Prime factorization of 3409 in exponential form is:

3409 = 71×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 3403 and 3409.

LCM(3403,3409) = 71×411×831×4871
LCM(3403,3409) = 11600827

Factors of 3403

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

1, 41, 83, 3403

Factors of 3409

List of positive integer factors of 3409 that divides 3409 without a remainder.

1, 7, 487, 3409

Least Common Multiple of 3403 and 3409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3403 and 3409, than apply into the LCM equation.

GCF(3403,3409) = 1
LCM(3403,3409) = ( 3403 × 3409) / 1
LCM(3403,3409) = 11600827 / 1
LCM(3403,3409) = 11600827

Properties of LCM 3403 and 3409

(i) The LCM of 3409 and 3403 is associative

LCM of 3403 and 3409 = LCM of 3409 and 3403

Related Least Common Multiples of 3403

Related Least Common Multiples of 3409

Frequently Asked Questions on LCM of 3403 and 3409

1. What is the LCM of 3403 and 3409?

Answer: LCM of 3403 and 3409 is 11600827.

2. 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.

3. What are the Factors of 3409?

Answer: Factors of 3409 are 1, 7, 487, 3409. There are 4 integers that are factors of 3409. The greatest factor of 3409 is 3409.

4. How to Find the LCM of 3403 and 3409?

Answer:

Least Common Multiple of 3403 and 3409 = 11600827

Step 1: Find the prime factorization of 3403

3403 = 41 x 83

Step 2: Find the prime factorization of 3409

3409 = 7 x 487

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

LCM = 11600827 = 7 x 41 x 83 x 487

Step 4: Therefore, the least common multiple of 3403 and 3409 is 11600827.