Least Common Multiple of 8303 and 8309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8303 and 8309 the smallest integer that is 68989627 that is divisible by both numbers.
Least Common Multiple (LCM) of 8303 and 8309 is 68989627.
LCM(8303,8309) = 68989627
LCM of 8303 and 8309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8303 and 8309 by Prime method
- Least Common Multiple of 8303 and 8309 with GCF Formula
LCM of 8303 and 8309 is 68989627
Least common multiple can be found by multiplying the highest exponent prime factors of 8303 and 8309. First we will calculate the prime factors of 8303 and 8309.
Prime Factorization of 8303
| 19 | 8303 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 8303 are 19,23. Prime factorization of 8303 in exponential form is:
8303 = 192×231
Prime Factorization of 8309
| 7 | 8309 |
| 1187 | 1187 |
| 1 |
Prime factors of 8309 are 7,1187. Prime factorization of 8309 in exponential form is:
8309 = 71×11871
Now multiplying the highest exponent prime factors to calculate the LCM of 8303 and 8309.
LCM(8303,8309) = 71×192×231×11871
LCM(8303,8309) = 68989627
Factors of 8303
List of positive integer factors of 8303 that divides 8303 without a remainder.
1, 19, 23, 361, 437, 8303
Factors of 8309
List of positive integer factors of 8309 that divides 8309 without a remainder.
1, 7, 1187, 8309
Least Common Multiple of 8303 and 8309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8303 and 8309, than apply into the LCM equation.
GCF(8303,8309) = 1
LCM(8303,8309) = ( 8303 × 8309) / 1
LCM(8303,8309) = 68989627 / 1
LCM(8303,8309) = 68989627
Properties of LCM 8303 and 8309
(i) The LCM of 8309 and 8303 is associative
LCM of 8303 and 8309 = LCM of 8309 and 8303
Related Least Common Multiples of 8303
Related Least Common Multiples of 8309
Frequently Asked Questions on LCM of 8303 and 8309
1. What is the LCM of 8303 and 8309?
Answer: LCM of 8303 and 8309 is 68989627.
2. What are the Factors of 8303?
Answer: Factors of 8303 are 1, 19, 23, 361, 437, 8303. There are 6 integers that are factors of 8303. The greatest factor of 8303 is 8303.
3. What are the Factors of 8309?
Answer: Factors of 8309 are 1, 7, 1187, 8309. There are 4 integers that are factors of 8309. The greatest factor of 8309 is 8309.
4. How to Find the LCM of 8303 and 8309?
Answer:
Least Common Multiple of 8303 and 8309 = 68989627
Step 1: Find the prime factorization of 8303
8303 = 19 x 19 x 23
Step 2: Find the prime factorization of 8309
8309 = 7 x 1187
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68989627 = 7 x 19 x 19 x 23 x 1187
Step 4: Therefore, the least common multiple of 8303 and 8309 is 68989627.