Least Common Multiple of 4361 and 4365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4361 and 4365 the smallest integer that is 19035765 that is divisible by both numbers.
Least Common Multiple (LCM) of 4361 and 4365 is 19035765.
LCM(4361,4365) = 19035765
LCM of 4361 and 4365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4361 and 4365 by Prime method
- Least Common Multiple of 4361 and 4365 with GCF Formula
LCM of 4361 and 4365 is 19035765
Least common multiple can be found by multiplying the highest exponent prime factors of 4361 and 4365. First we will calculate the prime factors of 4361 and 4365.
Prime Factorization of 4361
| 7 | 4361 |
| 7 | 623 |
| 89 | 89 |
| 1 |
Prime factors of 4361 are 7,89. Prime factorization of 4361 in exponential form is:
4361 = 72×891
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
Now multiplying the highest exponent prime factors to calculate the LCM of 4361 and 4365.
LCM(4361,4365) = 32×51×72×891×971
LCM(4361,4365) = 19035765
Factors of 4361
List of positive integer factors of 4361 that divides 4361 without a remainder.
1, 7, 49, 89, 623, 4361
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
Least Common Multiple of 4361 and 4365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4361 and 4365, than apply into the LCM equation.
GCF(4361,4365) = 1
LCM(4361,4365) = ( 4361 × 4365) / 1
LCM(4361,4365) = 19035765 / 1
LCM(4361,4365) = 19035765
Properties of LCM 4361 and 4365
(i) The LCM of 4365 and 4361 is associative
LCM of 4361 and 4365 = LCM of 4365 and 4361
Related Least Common Multiples of 4361
Related Least Common Multiples of 4365
Frequently Asked Questions on LCM of 4361 and 4365
1. What is the LCM of 4361 and 4365?
Answer: LCM of 4361 and 4365 is 19035765.
2. What are the Factors of 4361?
Answer: Factors of 4361 are 1, 7, 49, 89, 623, 4361. There are 6 integers that are factors of 4361. The greatest factor of 4361 is 4361.
3. 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.
4. How to Find the LCM of 4361 and 4365?
Answer:
Least Common Multiple of 4361 and 4365 = 19035765
Step 1: Find the prime factorization of 4361
4361 = 7 x 7 x 89
Step 2: Find the prime factorization of 4365
4365 = 3 x 3 x 5 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19035765 = 3 x 3 x 5 x 7 x 7 x 89 x 97
Step 4: Therefore, the least common multiple of 4361 and 4365 is 19035765.
