Least Common Multiple of 10403 and 10409
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10403 and 10409 the smallest integer that is 108284827 that is divisible by both numbers.
Least Common Multiple (LCM) of 10403 and 10409 is 108284827.
LCM(10403,10409) = 108284827
LCM of 10403 and 10409
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10403 and 10409 by Prime method
- Least Common Multiple of 10403 and 10409 with GCF Formula
LCM of 10403 and 10409 is 108284827
Least common multiple can be found by multiplying the highest exponent prime factors of 10403 and 10409. First we will calculate the prime factors of 10403 and 10409.
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
Prime Factorization of 10409
| 7 | 10409 |
| 1487 | 1487 |
| 1 |
Prime factors of 10409 are 7,1487. Prime factorization of 10409 in exponential form is:
10409 = 71×14871
Now multiplying the highest exponent prime factors to calculate the LCM of 10403 and 10409.
LCM(10403,10409) = 71×1011×1031×14871
LCM(10403,10409) = 108284827
Factors of 10403
List of positive integer factors of 10403 that divides 10403 without a remainder.
1, 101, 103, 10403
Factors of 10409
List of positive integer factors of 10409 that divides 10409 without a remainder.
1, 7, 1487, 10409
Least Common Multiple of 10403 and 10409 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10403 and 10409, than apply into the LCM equation.
GCF(10403,10409) = 1
LCM(10403,10409) = ( 10403 × 10409) / 1
LCM(10403,10409) = 108284827 / 1
LCM(10403,10409) = 108284827
Properties of LCM 10403 and 10409
(i) The LCM of 10409 and 10403 is associative
LCM of 10403 and 10409 = LCM of 10409 and 10403
Related Least Common Multiples of 10403
Related Least Common Multiples of 10409
Frequently Asked Questions on LCM of 10403 and 10409
1. What is the LCM of 10403 and 10409?
Answer: LCM of 10403 and 10409 is 108284827.
2. 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.
3. What are the Factors of 10409?
Answer: Factors of 10409 are 1, 7, 1487, 10409. There are 4 integers that are factors of 10409. The greatest factor of 10409 is 10409.
4. How to Find the LCM of 10403 and 10409?
Answer:
Least Common Multiple of 10403 and 10409 = 108284827
Step 1: Find the prime factorization of 10403
10403 = 101 x 103
Step 2: Find the prime factorization of 10409
10409 = 7 x 1487
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108284827 = 7 x 101 x 103 x 1487
Step 4: Therefore, the least common multiple of 10403 and 10409 is 108284827.