Least Common Multiple of 3404 and 3411

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 3411 the smallest integer that is 11611044 that is divisible by both numbers.

Least Common Multiple (LCM) of 3404 and 3411 is 11611044.

LCM(3404,3411) = 11611044

LCM of 3404 and 3411

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

LCM of:
and

Least Common Multiple of 3404 and 3411

LCM of 3404 and 3411 is 11611044

Least common multiple can be found by multiplying the highest exponent prime factors of 3404 and 3411. First we will calculate the prime factors of 3404 and 3411.

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 3411


3 3411
3 1137
379 379
1

Prime factors of 3411 are 3,379. Prime factorization of 3411 in exponential form is:

3411 = 32×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 3404 and 3411.

LCM(3404,3411) = 22×32×231×371×3791
LCM(3404,3411) = 11611044

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 3411

List of positive integer factors of 3411 that divides 3411 without a remainder.

1, 3, 9, 379, 1137, 3411

Least Common Multiple of 3404 and 3411 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 3411, than apply into the LCM equation.

GCF(3404,3411) = 1
LCM(3404,3411) = ( 3404 × 3411) / 1
LCM(3404,3411) = 11611044 / 1
LCM(3404,3411) = 11611044

Properties of LCM 3404 and 3411

(i) The LCM of 3411 and 3404 is associative

LCM of 3404 and 3411 = LCM of 3411 and 3404

Related Least Common Multiples of 3404

Related Least Common Multiples of 3411

Frequently Asked Questions on LCM of 3404 and 3411

1. What is the LCM of 3404 and 3411?

Answer: LCM of 3404 and 3411 is 11611044.

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 3411?

Answer: Factors of 3411 are 1, 3, 9, 379, 1137, 3411. There are 6 integers that are factors of 3411. The greatest factor of 3411 is 3411.

4. How to Find the LCM of 3404 and 3411?

Answer:

Least Common Multiple of 3404 and 3411 = 11611044

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3411

3411 = 3 x 3 x 379

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

LCM = 11611044 = 2 x 2 x 3 x 3 x 23 x 37 x 379

Step 4: Therefore, the least common multiple of 3404 and 3411 is 11611044.