Least Common Multiple of 4303 and 4309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4303 and 4309 the smallest integer that is 18541627 that is divisible by both numbers.
Least Common Multiple (LCM) of 4303 and 4309 is 18541627.
LCM(4303,4309) = 18541627
LCM of 4303 and 4309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4303 and 4309 by Prime method
- Least Common Multiple of 4303 and 4309 with GCF Formula
LCM of 4303 and 4309 is 18541627
Least common multiple can be found by multiplying the highest exponent prime factors of 4303 and 4309. First we will calculate the prime factors of 4303 and 4309.
Prime Factorization of 4303
| 13 | 4303 |
| 331 | 331 |
| 1 |
Prime factors of 4303 are 13,331. Prime factorization of 4303 in exponential form is:
4303 = 131×3311
Prime Factorization of 4309
| 31 | 4309 |
| 139 | 139 |
| 1 |
Prime factors of 4309 are 31,139. Prime factorization of 4309 in exponential form is:
4309 = 311×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 4303 and 4309.
LCM(4303,4309) = 131×311×1391×3311
LCM(4303,4309) = 18541627
Factors of 4303
List of positive integer factors of 4303 that divides 4303 without a remainder.
1, 13, 331, 4303
Factors of 4309
List of positive integer factors of 4309 that divides 4309 without a remainder.
1, 31, 139, 4309
Least Common Multiple of 4303 and 4309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4303 and 4309, than apply into the LCM equation.
GCF(4303,4309) = 1
LCM(4303,4309) = ( 4303 × 4309) / 1
LCM(4303,4309) = 18541627 / 1
LCM(4303,4309) = 18541627
Properties of LCM 4303 and 4309
(i) The LCM of 4309 and 4303 is associative
LCM of 4303 and 4309 = LCM of 4309 and 4303
Related Least Common Multiples of 4303
Related Least Common Multiples of 4309
Frequently Asked Questions on LCM of 4303 and 4309
1. What is the LCM of 4303 and 4309?
Answer: LCM of 4303 and 4309 is 18541627.
2. What are the Factors of 4303?
Answer: Factors of 4303 are 1, 13, 331, 4303. There are 4 integers that are factors of 4303. The greatest factor of 4303 is 4303.
3. What are the Factors of 4309?
Answer: Factors of 4309 are 1, 31, 139, 4309. There are 4 integers that are factors of 4309. The greatest factor of 4309 is 4309.
4. How to Find the LCM of 4303 and 4309?
Answer:
Least Common Multiple of 4303 and 4309 = 18541627
Step 1: Find the prime factorization of 4303
4303 = 13 x 331
Step 2: Find the prime factorization of 4309
4309 = 31 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 18541627 = 13 x 31 x 139 x 331
Step 4: Therefore, the least common multiple of 4303 and 4309 is 18541627.