Least Common Multiple of 3404 and 3408

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 3408 the smallest integer that is 2900208 that is divisible by both numbers.

Least Common Multiple (LCM) of 3404 and 3408 is 2900208.

LCM(3404,3408) = 2900208

LCM of 3404 and 3408

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

LCM of:
and

Least Common Multiple of 3404 and 3408

LCM of 3404 and 3408 is 2900208

Least common multiple can be found by multiplying the highest exponent prime factors of 3404 and 3408. First we will calculate the prime factors of 3404 and 3408.

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 3408


2 3408
2 1704
2 852
2 426
3 213
71 71
1

Prime factors of 3408 are 2, 3,71. Prime factorization of 3408 in exponential form is:

3408 = 24×31×711

Now multiplying the highest exponent prime factors to calculate the LCM of 3404 and 3408.

LCM(3404,3408) = 24×31×231×371×711
LCM(3404,3408) = 2900208

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 3408

List of positive integer factors of 3408 that divides 3408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408

Least Common Multiple of 3404 and 3408 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 3408, than apply into the LCM equation.

GCF(3404,3408) = 4
LCM(3404,3408) = ( 3404 × 3408) / 4
LCM(3404,3408) = 11600832 / 4
LCM(3404,3408) = 2900208

Properties of LCM 3404 and 3408

(i) The LCM of 3408 and 3404 is associative

LCM of 3404 and 3408 = LCM of 3408 and 3404

Related Least Common Multiples of 3404

Related Least Common Multiples of 3408

Frequently Asked Questions on LCM of 3404 and 3408

1. What is the LCM of 3404 and 3408?

Answer: LCM of 3404 and 3408 is 2900208.

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 3408?

Answer: Factors of 3408 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 71, 142, 213, 284, 426, 568, 852, 1136, 1704, 3408. There are 20 integers that are factors of 3408. The greatest factor of 3408 is 3408.

4. How to Find the LCM of 3404 and 3408?

Answer:

Least Common Multiple of 3404 and 3408 = 2900208

Step 1: Find the prime factorization of 3404

3404 = 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 3408

3408 = 2 x 2 x 2 x 2 x 3 x 71

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

LCM = 2900208 = 2 x 2 x 2 x 2 x 3 x 23 x 37 x 71

Step 4: Therefore, the least common multiple of 3404 and 3408 is 2900208.