Least Common Multiple of 3400 and 3403

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 3403 the smallest integer that is 11570200 that is divisible by both numbers.

Least Common Multiple (LCM) of 3400 and 3403 is 11570200.

LCM(3400,3403) = 11570200

LCM of 3400 and 3403

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

LCM of:
and

Least Common Multiple of 3400 and 3403

LCM of 3400 and 3403 is 11570200

Least common multiple can be found by multiplying the highest exponent prime factors of 3400 and 3403. First we will calculate the prime factors of 3400 and 3403.

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 3403


41 3403
83 83
1

Prime factors of 3403 are 41,83. Prime factorization of 3403 in exponential form is:

3403 = 411×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3400 and 3403.

LCM(3400,3403) = 23×52×171×411×831
LCM(3400,3403) = 11570200

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 3403

List of positive integer factors of 3403 that divides 3403 without a remainder.

1, 41, 83, 3403

Least Common Multiple of 3400 and 3403 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 3403, than apply into the LCM equation.

GCF(3400,3403) = 1
LCM(3400,3403) = ( 3400 × 3403) / 1
LCM(3400,3403) = 11570200 / 1
LCM(3400,3403) = 11570200

Properties of LCM 3400 and 3403

(i) The LCM of 3403 and 3400 is associative

LCM of 3400 and 3403 = LCM of 3403 and 3400

Related Least Common Multiples of 3400

Related Least Common Multiples of 3403

Frequently Asked Questions on LCM of 3400 and 3403

1. What is the LCM of 3400 and 3403?

Answer: LCM of 3400 and 3403 is 11570200.

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 3403?

Answer: Factors of 3403 are 1, 41, 83, 3403. There are 4 integers that are factors of 3403. The greatest factor of 3403 is 3403.

4. How to Find the LCM of 3400 and 3403?

Answer:

Least Common Multiple of 3400 and 3403 = 11570200

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 3403

3403 = 41 x 83

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

LCM = 11570200 = 2 x 2 x 2 x 5 x 5 x 17 x 41 x 83

Step 4: Therefore, the least common multiple of 3400 and 3403 is 11570200.