Least Common Multiple of 10400 and 10402

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10400 and 10402 the smallest integer that is 54090400 that is divisible by both numbers.

Least Common Multiple (LCM) of 10400 and 10402 is 54090400.

LCM(10400,10402) = 54090400

LCM of 10400 and 10402

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

LCM of:
and

Least Common Multiple of 10400 and 10402

LCM of 10400 and 10402 is 54090400

Least common multiple can be found by multiplying the highest exponent prime factors of 10400 and 10402. First we will calculate the prime factors of 10400 and 10402.

Prime Factorization of 10400


2 10400
2 5200
2 2600
2 1300
2 650
5 325
5 65
13 13
1

Prime factors of 10400 are 2, 5,13. Prime factorization of 10400 in exponential form is:

10400 = 25×52×131

Prime Factorization of 10402


2 10402
7 5201
743 743
1

Prime factors of 10402 are 2, 7,743. Prime factorization of 10402 in exponential form is:

10402 = 21×71×7431

Now multiplying the highest exponent prime factors to calculate the LCM of 10400 and 10402.

LCM(10400,10402) = 25×52×71×131×7431
LCM(10400,10402) = 54090400

Factors of 10400

List of positive integer factors of 10400 that divides 10400 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 130, 160, 200, 208, 260, 325, 400, 416, 520, 650, 800, 1040, 1300, 2080, 2600, 5200, 10400

Factors of 10402

List of positive integer factors of 10402 that divides 10402 without a remainder.

1, 2, 7, 14, 743, 1486, 5201, 10402

Least Common Multiple of 10400 and 10402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10400 and 10402, than apply into the LCM equation.

GCF(10400,10402) = 2
LCM(10400,10402) = ( 10400 × 10402) / 2
LCM(10400,10402) = 108180800 / 2
LCM(10400,10402) = 54090400

Properties of LCM 10400 and 10402

(i) The LCM of 10402 and 10400 is associative

LCM of 10400 and 10402 = LCM of 10402 and 10400

Related Least Common Multiples of 10400

Related Least Common Multiples of 10402

Frequently Asked Questions on LCM of 10400 and 10402

1. What is the LCM of 10400 and 10402?

Answer: LCM of 10400 and 10402 is 54090400.

2. What are the Factors of 10400?

Answer: Factors of 10400 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 32, 40, 50, 52, 65, 80, 100, 104, 130, 160, 200, 208, 260, 325, 400, 416, 520, 650, 800, 1040, 1300, 2080, 2600, 5200, 10400. There are 36 integers that are factors of 10400. The greatest factor of 10400 is 10400.

3. What are the Factors of 10402?

Answer: Factors of 10402 are 1, 2, 7, 14, 743, 1486, 5201, 10402. There are 8 integers that are factors of 10402. The greatest factor of 10402 is 10402.

4. How to Find the LCM of 10400 and 10402?

Answer:

Least Common Multiple of 10400 and 10402 = 54090400

Step 1: Find the prime factorization of 10400

10400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13

Step 2: Find the prime factorization of 10402

10402 = 2 x 7 x 743

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

LCM = 54090400 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 7 x 13 x 743

Step 4: Therefore, the least common multiple of 10400 and 10402 is 54090400.