Least Common Multiple of 10400 and 10403

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 10403 the smallest integer that is 108191200 that is divisible by both numbers.

Least Common Multiple (LCM) of 10400 and 10403 is 108191200.

LCM(10400,10403) = 108191200

LCM of 10400 and 10403

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

LCM of:
and

Least Common Multiple of 10400 and 10403

LCM of 10400 and 10403 is 108191200

Least common multiple can be found by multiplying the highest exponent prime factors of 10400 and 10403. First we will calculate the prime factors of 10400 and 10403.

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 10403


101 10403
103 103
1

Prime factors of 10403 are 101,103. Prime factorization of 10403 in exponential form is:

10403 = 1011×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 10400 and 10403.

LCM(10400,10403) = 25×52×131×1011×1031
LCM(10400,10403) = 108191200

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 10403

List of positive integer factors of 10403 that divides 10403 without a remainder.

1, 101, 103, 10403

Least Common Multiple of 10400 and 10403 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 10403, than apply into the LCM equation.

GCF(10400,10403) = 1
LCM(10400,10403) = ( 10400 × 10403) / 1
LCM(10400,10403) = 108191200 / 1
LCM(10400,10403) = 108191200

Properties of LCM 10400 and 10403

(i) The LCM of 10403 and 10400 is associative

LCM of 10400 and 10403 = LCM of 10403 and 10400

Related Least Common Multiples of 10400

Related Least Common Multiples of 10403

Frequently Asked Questions on LCM of 10400 and 10403

1. What is the LCM of 10400 and 10403?

Answer: LCM of 10400 and 10403 is 108191200.

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 10403?

Answer: Factors of 10403 are 1, 101, 103, 10403. There are 4 integers that are factors of 10403. The greatest factor of 10403 is 10403.

4. How to Find the LCM of 10400 and 10403?

Answer:

Least Common Multiple of 10400 and 10403 = 108191200

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 10403

10403 = 101 x 103

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

LCM = 108191200 = 2 x 2 x 2 x 2 x 2 x 5 x 5 x 13 x 101 x 103

Step 4: Therefore, the least common multiple of 10400 and 10403 is 108191200.