Least Common Multiple of 3406 and 3412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3406 and 3412 the smallest integer that is 5810636 that is divisible by both numbers.

Least Common Multiple (LCM) of 3406 and 3412 is 5810636.

LCM(3406,3412) = 5810636

LCM of 3406 and 3412

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

LCM of:
and

Least Common Multiple of 3406 and 3412

LCM of 3406 and 3412 is 5810636

Least common multiple can be found by multiplying the highest exponent prime factors of 3406 and 3412. First we will calculate the prime factors of 3406 and 3412.

Prime Factorization of 3406


2 3406
13 1703
131 131
1

Prime factors of 3406 are 2, 13,131. Prime factorization of 3406 in exponential form is:

3406 = 21×131×1311

Prime Factorization of 3412


2 3412
2 1706
853 853
1

Prime factors of 3412 are 2,853. Prime factorization of 3412 in exponential form is:

3412 = 22×8531

Now multiplying the highest exponent prime factors to calculate the LCM of 3406 and 3412.

LCM(3406,3412) = 22×131×1311×8531
LCM(3406,3412) = 5810636

Factors of 3406

List of positive integer factors of 3406 that divides 3406 without a remainder.

1, 2, 13, 26, 131, 262, 1703, 3406

Factors of 3412

List of positive integer factors of 3412 that divides 3412 without a remainder.

1, 2, 4, 853, 1706, 3412

Least Common Multiple of 3406 and 3412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3406 and 3412, than apply into the LCM equation.

GCF(3406,3412) = 2
LCM(3406,3412) = ( 3406 × 3412) / 2
LCM(3406,3412) = 11621272 / 2
LCM(3406,3412) = 5810636

Properties of LCM 3406 and 3412

(i) The LCM of 3412 and 3406 is associative

LCM of 3406 and 3412 = LCM of 3412 and 3406

Related Least Common Multiples of 3406

Related Least Common Multiples of 3412

Frequently Asked Questions on LCM of 3406 and 3412

1. What is the LCM of 3406 and 3412?

Answer: LCM of 3406 and 3412 is 5810636.

2. What are the Factors of 3406?

Answer: Factors of 3406 are 1, 2, 13, 26, 131, 262, 1703, 3406. There are 8 integers that are factors of 3406. The greatest factor of 3406 is 3406.

3. What are the Factors of 3412?

Answer: Factors of 3412 are 1, 2, 4, 853, 1706, 3412. There are 6 integers that are factors of 3412. The greatest factor of 3412 is 3412.

4. How to Find the LCM of 3406 and 3412?

Answer:

Least Common Multiple of 3406 and 3412 = 5810636

Step 1: Find the prime factorization of 3406

3406 = 2 x 13 x 131

Step 2: Find the prime factorization of 3412

3412 = 2 x 2 x 853

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

LCM = 5810636 = 2 x 2 x 13 x 131 x 853

Step 4: Therefore, the least common multiple of 3406 and 3412 is 5810636.