Least Common Multiple of 3409 and 3414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3409 and 3414 the smallest integer that is 11638326 that is divisible by both numbers.

Least Common Multiple (LCM) of 3409 and 3414 is 11638326.

LCM(3409,3414) = 11638326

LCM of 3409 and 3414

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

LCM of:
and

Least Common Multiple of 3409 and 3414

LCM of 3409 and 3414 is 11638326

Least common multiple can be found by multiplying the highest exponent prime factors of 3409 and 3414. First we will calculate the prime factors of 3409 and 3414.

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

Prime Factorization of 3414


2 3414
3 1707
569 569
1

Prime factors of 3414 are 2, 3,569. Prime factorization of 3414 in exponential form is:

3414 = 21×31×5691

Now multiplying the highest exponent prime factors to calculate the LCM of 3409 and 3414.

LCM(3409,3414) = 21×31×71×4871×5691
LCM(3409,3414) = 11638326

Factors of 3409

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

1, 7, 487, 3409

Factors of 3414

List of positive integer factors of 3414 that divides 3414 without a remainder.

1, 2, 3, 6, 569, 1138, 1707, 3414

Least Common Multiple of 3409 and 3414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3409 and 3414, than apply into the LCM equation.

GCF(3409,3414) = 1
LCM(3409,3414) = ( 3409 × 3414) / 1
LCM(3409,3414) = 11638326 / 1
LCM(3409,3414) = 11638326

Properties of LCM 3409 and 3414

(i) The LCM of 3414 and 3409 is associative

LCM of 3409 and 3414 = LCM of 3414 and 3409

Related Least Common Multiples of 3409

Related Least Common Multiples of 3414

Frequently Asked Questions on LCM of 3409 and 3414

1. What is the LCM of 3409 and 3414?

Answer: LCM of 3409 and 3414 is 11638326.

2. 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.

3. What are the Factors of 3414?

Answer: Factors of 3414 are 1, 2, 3, 6, 569, 1138, 1707, 3414. There are 8 integers that are factors of 3414. The greatest factor of 3414 is 3414.

4. How to Find the LCM of 3409 and 3414?

Answer:

Least Common Multiple of 3409 and 3414 = 11638326

Step 1: Find the prime factorization of 3409

3409 = 7 x 487

Step 2: Find the prime factorization of 3414

3414 = 2 x 3 x 569

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

LCM = 11638326 = 2 x 3 x 7 x 487 x 569

Step 4: Therefore, the least common multiple of 3409 and 3414 is 11638326.