Least Common Multiple of 10453 and 10461
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10453 and 10461 the smallest integer that is 109348833 that is divisible by both numbers.
Least Common Multiple (LCM) of 10453 and 10461 is 109348833.
LCM(10453,10461) = 109348833
LCM of 10453 and 10461
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10453 and 10461 by Prime method
- Least Common Multiple of 10453 and 10461 with GCF Formula
LCM of 10453 and 10461 is 109348833
Least common multiple can be found by multiplying the highest exponent prime factors of 10453 and 10461. First we will calculate the prime factors of 10453 and 10461.
Prime Factorization of 10453
| 10453 | 10453 |
| 1 |
Prime factors of 10453 are 10453. Prime factorization of 10453 in exponential form is:
10453 = 104531
Prime Factorization of 10461
| 3 | 10461 |
| 11 | 3487 |
| 317 | 317 |
| 1 |
Prime factors of 10461 are 3, 11,317. Prime factorization of 10461 in exponential form is:
10461 = 31×111×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 10453 and 10461.
LCM(10453,10461) = 31×111×3171×104531
LCM(10453,10461) = 109348833
Factors of 10453
List of positive integer factors of 10453 that divides 10453 without a remainder.
1, 10453
Factors of 10461
List of positive integer factors of 10461 that divides 10461 without a remainder.
1, 3, 11, 33, 317, 951, 3487, 10461
Least Common Multiple of 10453 and 10461 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10453 and 10461, than apply into the LCM equation.
GCF(10453,10461) = 1
LCM(10453,10461) = ( 10453 × 10461) / 1
LCM(10453,10461) = 109348833 / 1
LCM(10453,10461) = 109348833
Properties of LCM 10453 and 10461
(i) The LCM of 10461 and 10453 is associative
LCM of 10453 and 10461 = LCM of 10461 and 10453
Related Least Common Multiples of 10453
Related Least Common Multiples of 10461
Frequently Asked Questions on LCM of 10453 and 10461
1. What is the LCM of 10453 and 10461?
Answer: LCM of 10453 and 10461 is 109348833.
2. What are the Factors of 10453?
Answer: Factors of 10453 are 1, 10453. There are 2 integers that are factors of 10453. The greatest factor of 10453 is 10453.
3. What are the Factors of 10461?
Answer: Factors of 10461 are 1, 3, 11, 33, 317, 951, 3487, 10461. There are 8 integers that are factors of 10461. The greatest factor of 10461 is 10461.
4. How to Find the LCM of 10453 and 10461?
Answer:
Least Common Multiple of 10453 and 10461 = 109348833
Step 1: Find the prime factorization of 10453
10453 = 10453
Step 2: Find the prime factorization of 10461
10461 = 3 x 11 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 109348833 = 3 x 11 x 317 x 10453
Step 4: Therefore, the least common multiple of 10453 and 10461 is 109348833.