Least Common Multiple of 3400 and 3406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3400 and 3406 the smallest integer that is 5790200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3400 and 3406 is 5790200.

LCM(3400,3406) = 5790200

LCM of 3400 and 3406

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

LCM of:
and

Least Common Multiple of 3400 and 3406

LCM of 3400 and 3406 is 5790200

Least common multiple can be found by multiplying the highest exponent prime factors of 3400 and 3406. First we will calculate the prime factors of 3400 and 3406.

Prime Factorization of 3400


2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 3400 are 2, 5,17. Prime factorization of 3400 in exponential form is:

3400 = 23×52×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3400 and 3406.

LCM(3400,3406) = 23×52×131×171×1311
LCM(3400,3406) = 5790200

Factors of 3400

List of positive integer factors of 3400 that divides 3400 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400

Factors of 3406

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

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

Least Common Multiple of 3400 and 3406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3400 and 3406, than apply into the LCM equation.

GCF(3400,3406) = 2
LCM(3400,3406) = ( 3400 × 3406) / 2
LCM(3400,3406) = 11580400 / 2
LCM(3400,3406) = 5790200

Properties of LCM 3400 and 3406

(i) The LCM of 3406 and 3400 is associative

LCM of 3400 and 3406 = LCM of 3406 and 3400

Related Least Common Multiples of 3400

Related Least Common Multiples of 3406

Frequently Asked Questions on LCM of 3400 and 3406

1. What is the LCM of 3400 and 3406?

Answer: LCM of 3400 and 3406 is 5790200.

2. What are the Factors of 3400?

Answer: Factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400. There are 24 integers that are factors of 3400. The greatest factor of 3400 is 3400.

3. 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.

4. How to Find the LCM of 3400 and 3406?

Answer:

Least Common Multiple of 3400 and 3406 = 5790200

Step 1: Find the prime factorization of 3400

3400 = 2 x 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 3406

3406 = 2 x 13 x 131

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

LCM = 5790200 = 2 x 2 x 2 x 5 x 5 x 13 x 17 x 131

Step 4: Therefore, the least common multiple of 3400 and 3406 is 5790200.