Least Common Multiple of 10403 and 10407
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 10407 the smallest integer that is 108264021 that is divisible by both numbers.
Least Common Multiple (LCM) of 10403 and 10407 is 108264021.
LCM(10403,10407) = 108264021
LCM of 10403 and 10407
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10403 and 10407 by Prime method
- Least Common Multiple of 10403 and 10407 with GCF Formula
LCM of 10403 and 10407 is 108264021
Least common multiple can be found by multiplying the highest exponent prime factors of 10403 and 10407. First we will calculate the prime factors of 10403 and 10407.
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 10407
| 3 | 10407 |
| 3469 | 3469 |
| 1 |
Prime factors of 10407 are 3,3469. Prime factorization of 10407 in exponential form is:
10407 = 31×34691
Now multiplying the highest exponent prime factors to calculate the LCM of 10403 and 10407.
LCM(10403,10407) = 31×1011×1031×34691
LCM(10403,10407) = 108264021
Factors of 10403
List of positive integer factors of 10403 that divides 10403 without a remainder.
1, 101, 103, 10403
Factors of 10407
List of positive integer factors of 10407 that divides 10407 without a remainder.
1, 3, 3469, 10407
Least Common Multiple of 10403 and 10407 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 10407, than apply into the LCM equation.
GCF(10403,10407) = 1
LCM(10403,10407) = ( 10403 × 10407) / 1
LCM(10403,10407) = 108264021 / 1
LCM(10403,10407) = 108264021
Properties of LCM 10403 and 10407
(i) The LCM of 10407 and 10403 is associative
LCM of 10403 and 10407 = LCM of 10407 and 10403
Related Least Common Multiples of 10403
Related Least Common Multiples of 10407
Frequently Asked Questions on LCM of 10403 and 10407
1. What is the LCM of 10403 and 10407?
Answer: LCM of 10403 and 10407 is 108264021.
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 10407?
Answer: Factors of 10407 are 1, 3, 3469, 10407. There are 4 integers that are factors of 10407. The greatest factor of 10407 is 10407.
4. How to Find the LCM of 10403 and 10407?
Answer:
Least Common Multiple of 10403 and 10407 = 108264021
Step 1: Find the prime factorization of 10403
10403 = 101 x 103
Step 2: Find the prime factorization of 10407
10407 = 3 x 3469
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108264021 = 3 x 101 x 103 x 3469
Step 4: Therefore, the least common multiple of 10403 and 10407 is 108264021.