Least Common Multiple of 3404 and 3410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3404 and 3410 the smallest integer that is 5803820 that is divisible by both numbers.

Least Common Multiple (LCM) of 3404 and 3410 is 5803820.

LCM(3404,3410) = 5803820

LCM of 3404 and 3410

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

LCM of:
and

Least Common Multiple of 3404 and 3410

LCM of 3404 and 3410 is 5803820

Least common multiple can be found by multiplying the highest exponent prime factors of 3404 and 3410. First we will calculate the prime factors of 3404 and 3410.

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

Prime Factorization of 3410


2 3410
5 1705
11 341
31 31
1

Prime factors of 3410 are 2, 5, 11,31. Prime factorization of 3410 in exponential form is:

3410 = 21×51×111×311

Now multiplying the highest exponent prime factors to calculate the LCM of 3404 and 3410.

LCM(3404,3410) = 22×51×111×231×311×371
LCM(3404,3410) = 5803820

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

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410

Least Common Multiple of 3404 and 3410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3404 and 3410, than apply into the LCM equation.

GCF(3404,3410) = 2
LCM(3404,3410) = ( 3404 × 3410) / 2
LCM(3404,3410) = 11607640 / 2
LCM(3404,3410) = 5803820

Properties of LCM 3404 and 3410

(i) The LCM of 3410 and 3404 is associative

LCM of 3404 and 3410 = LCM of 3410 and 3404

Related Least Common Multiples of 3404

Related Least Common Multiples of 3410

Frequently Asked Questions on LCM of 3404 and 3410

1. What is the LCM of 3404 and 3410?

Answer: LCM of 3404 and 3410 is 5803820.

2. 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.

3. What are the Factors of 3410?

Answer: Factors of 3410 are 1, 2, 5, 10, 11, 22, 31, 55, 62, 110, 155, 310, 341, 682, 1705, 3410. There are 16 integers that are factors of 3410. The greatest factor of 3410 is 3410.

4. How to Find the LCM of 3404 and 3410?

Answer:

Least Common Multiple of 3404 and 3410 = 5803820

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3410

3410 = 2 x 5 x 11 x 31

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

LCM = 5803820 = 2 x 2 x 5 x 11 x 23 x 31 x 37

Step 4: Therefore, the least common multiple of 3404 and 3410 is 5803820.