Least Common Multiple of 3400 and 3401

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 3401 the smallest integer that is 11563400 that is divisible by both numbers.

Least Common Multiple (LCM) of 3400 and 3401 is 11563400.

LCM(3400,3401) = 11563400

LCM of 3400 and 3401

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

LCM of:
and

Least Common Multiple of 3400 and 3401

LCM of 3400 and 3401 is 11563400

Least common multiple can be found by multiplying the highest exponent prime factors of 3400 and 3401. First we will calculate the prime factors of 3400 and 3401.

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 3401


19 3401
179 179
1

Prime factors of 3401 are 19,179. Prime factorization of 3401 in exponential form is:

3401 = 191×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 3400 and 3401.

LCM(3400,3401) = 23×52×171×191×1791
LCM(3400,3401) = 11563400

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 3401

List of positive integer factors of 3401 that divides 3401 without a remainder.

1, 19, 179, 3401

Least Common Multiple of 3400 and 3401 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 3401, than apply into the LCM equation.

GCF(3400,3401) = 1
LCM(3400,3401) = ( 3400 × 3401) / 1
LCM(3400,3401) = 11563400 / 1
LCM(3400,3401) = 11563400

Properties of LCM 3400 and 3401

(i) The LCM of 3401 and 3400 is associative

LCM of 3400 and 3401 = LCM of 3401 and 3400

Related Least Common Multiples of 3400

Related Least Common Multiples of 3401

Frequently Asked Questions on LCM of 3400 and 3401

1. What is the LCM of 3400 and 3401?

Answer: LCM of 3400 and 3401 is 11563400.

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 3401?

Answer: Factors of 3401 are 1, 19, 179, 3401. There are 4 integers that are factors of 3401. The greatest factor of 3401 is 3401.

4. How to Find the LCM of 3400 and 3401?

Answer:

Least Common Multiple of 3400 and 3401 = 11563400

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 3401

3401 = 19 x 179

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

LCM = 11563400 = 2 x 2 x 2 x 5 x 5 x 17 x 19 x 179

Step 4: Therefore, the least common multiple of 3400 and 3401 is 11563400.