Least Common Multiple of 4365 and 4369
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4365 and 4369 the smallest integer that is 19070685 that is divisible by both numbers.
Least Common Multiple (LCM) of 4365 and 4369 is 19070685.
LCM(4365,4369) = 19070685
LCM of 4365 and 4369
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4365 and 4369 by Prime method
- Least Common Multiple of 4365 and 4369 with GCF Formula
LCM of 4365 and 4369 is 19070685
Least common multiple can be found by multiplying the highest exponent prime factors of 4365 and 4369. First we will calculate the prime factors of 4365 and 4369.
Prime Factorization of 4365
| 3 | 4365 |
| 3 | 1455 |
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 4365 are 3, 5,97. Prime factorization of 4365 in exponential form is:
4365 = 32×51×971
Prime Factorization of 4369
| 17 | 4369 |
| 257 | 257 |
| 1 |
Prime factors of 4369 are 17,257. Prime factorization of 4369 in exponential form is:
4369 = 171×2571
Now multiplying the highest exponent prime factors to calculate the LCM of 4365 and 4369.
LCM(4365,4369) = 32×51×171×971×2571
LCM(4365,4369) = 19070685
Factors of 4365
List of positive integer factors of 4365 that divides 4365 without a remainder.
1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365
Factors of 4369
List of positive integer factors of 4369 that divides 4369 without a remainder.
1, 17, 257, 4369
Least Common Multiple of 4365 and 4369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4365 and 4369, than apply into the LCM equation.
GCF(4365,4369) = 1
LCM(4365,4369) = ( 4365 × 4369) / 1
LCM(4365,4369) = 19070685 / 1
LCM(4365,4369) = 19070685
Properties of LCM 4365 and 4369
(i) The LCM of 4369 and 4365 is associative
LCM of 4365 and 4369 = LCM of 4369 and 4365
Related Least Common Multiples of 4365
Related Least Common Multiples of 4369
Frequently Asked Questions on LCM of 4365 and 4369
1. What is the LCM of 4365 and 4369?
Answer: LCM of 4365 and 4369 is 19070685.
2. What are the Factors of 4365?
Answer: Factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365. There are 12 integers that are factors of 4365. The greatest factor of 4365 is 4365.
3. What are the Factors of 4369?
Answer: Factors of 4369 are 1, 17, 257, 4369. There are 4 integers that are factors of 4369. The greatest factor of 4369 is 4369.
4. How to Find the LCM of 4365 and 4369?
Answer:
Least Common Multiple of 4365 and 4369 = 19070685
Step 1: Find the prime factorization of 4365
4365 = 3 x 3 x 5 x 97
Step 2: Find the prime factorization of 4369
4369 = 17 x 257
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19070685 = 3 x 3 x 5 x 17 x 97 x 257
Step 4: Therefore, the least common multiple of 4365 and 4369 is 19070685.