Least Common Multiple of 10303 and 10309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10303 and 10309 the smallest integer that is 106213627 that is divisible by both numbers.
Least Common Multiple (LCM) of 10303 and 10309 is 106213627.
LCM(10303,10309) = 106213627
LCM of 10303 and 10309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10303 and 10309 by Prime method
- Least Common Multiple of 10303 and 10309 with GCF Formula
LCM of 10303 and 10309 is 106213627
Least common multiple can be found by multiplying the highest exponent prime factors of 10303 and 10309. First we will calculate the prime factors of 10303 and 10309.
Prime Factorization of 10303
| 10303 | 10303 |
| 1 |
Prime factors of 10303 are 10303. Prime factorization of 10303 in exponential form is:
10303 = 103031
Prime Factorization of 10309
| 13 | 10309 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 10309 are 13,61. Prime factorization of 10309 in exponential form is:
10309 = 132×611
Now multiplying the highest exponent prime factors to calculate the LCM of 10303 and 10309.
LCM(10303,10309) = 132×611×103031
LCM(10303,10309) = 106213627
Factors of 10303
List of positive integer factors of 10303 that divides 10303 without a remainder.
1, 10303
Factors of 10309
List of positive integer factors of 10309 that divides 10309 without a remainder.
1, 13, 61, 169, 793, 10309
Least Common Multiple of 10303 and 10309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10303 and 10309, than apply into the LCM equation.
GCF(10303,10309) = 1
LCM(10303,10309) = ( 10303 × 10309) / 1
LCM(10303,10309) = 106213627 / 1
LCM(10303,10309) = 106213627
Properties of LCM 10303 and 10309
(i) The LCM of 10309 and 10303 is associative
LCM of 10303 and 10309 = LCM of 10309 and 10303
Related Least Common Multiples of 10303
Related Least Common Multiples of 10309
Frequently Asked Questions on LCM of 10303 and 10309
1. What is the LCM of 10303 and 10309?
Answer: LCM of 10303 and 10309 is 106213627.
2. What are the Factors of 10303?
Answer: Factors of 10303 are 1, 10303. There are 2 integers that are factors of 10303. The greatest factor of 10303 is 10303.
3. What are the Factors of 10309?
Answer: Factors of 10309 are 1, 13, 61, 169, 793, 10309. There are 6 integers that are factors of 10309. The greatest factor of 10309 is 10309.
4. How to Find the LCM of 10303 and 10309?
Answer:
Least Common Multiple of 10303 and 10309 = 106213627
Step 1: Find the prime factorization of 10303
10303 = 10303
Step 2: Find the prime factorization of 10309
10309 = 13 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106213627 = 13 x 13 x 61 x 10303
Step 4: Therefore, the least common multiple of 10303 and 10309 is 106213627.