Least Common Multiple of 10403 and 10411
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 10411 the smallest integer that is 108305633 that is divisible by both numbers.
Least Common Multiple (LCM) of 10403 and 10411 is 108305633.
LCM(10403,10411) = 108305633
LCM of 10403 and 10411
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10403 and 10411 by Prime method
- Least Common Multiple of 10403 and 10411 with GCF Formula
LCM of 10403 and 10411 is 108305633
Least common multiple can be found by multiplying the highest exponent prime factors of 10403 and 10411. First we will calculate the prime factors of 10403 and 10411.
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 10411
| 29 | 10411 |
| 359 | 359 |
| 1 |
Prime factors of 10411 are 29,359. Prime factorization of 10411 in exponential form is:
10411 = 291×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 10403 and 10411.
LCM(10403,10411) = 291×1011×1031×3591
LCM(10403,10411) = 108305633
Factors of 10403
List of positive integer factors of 10403 that divides 10403 without a remainder.
1, 101, 103, 10403
Factors of 10411
List of positive integer factors of 10411 that divides 10411 without a remainder.
1, 29, 359, 10411
Least Common Multiple of 10403 and 10411 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 10411, than apply into the LCM equation.
GCF(10403,10411) = 1
LCM(10403,10411) = ( 10403 × 10411) / 1
LCM(10403,10411) = 108305633 / 1
LCM(10403,10411) = 108305633
Properties of LCM 10403 and 10411
(i) The LCM of 10411 and 10403 is associative
LCM of 10403 and 10411 = LCM of 10411 and 10403
Related Least Common Multiples of 10403
Related Least Common Multiples of 10411
Frequently Asked Questions on LCM of 10403 and 10411
1. What is the LCM of 10403 and 10411?
Answer: LCM of 10403 and 10411 is 108305633.
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 10411?
Answer: Factors of 10411 are 1, 29, 359, 10411. There are 4 integers that are factors of 10411. The greatest factor of 10411 is 10411.
4. How to Find the LCM of 10403 and 10411?
Answer:
Least Common Multiple of 10403 and 10411 = 108305633
Step 1: Find the prime factorization of 10403
10403 = 101 x 103
Step 2: Find the prime factorization of 10411
10411 = 29 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 108305633 = 29 x 101 x 103 x 359
Step 4: Therefore, the least common multiple of 10403 and 10411 is 108305633.