Least Common Multiple of 7361 and 7365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7361 and 7365 the smallest integer that is 54213765 that is divisible by both numbers.
Least Common Multiple (LCM) of 7361 and 7365 is 54213765.
LCM(7361,7365) = 54213765
LCM of 7361 and 7365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7361 and 7365 by Prime method
- Least Common Multiple of 7361 and 7365 with GCF Formula
LCM of 7361 and 7365 is 54213765
Least common multiple can be found by multiplying the highest exponent prime factors of 7361 and 7365. First we will calculate the prime factors of 7361 and 7365.
Prime Factorization of 7361
| 17 | 7361 |
| 433 | 433 |
| 1 |
Prime factors of 7361 are 17,433. Prime factorization of 7361 in exponential form is:
7361 = 171×4331
Prime Factorization of 7365
| 3 | 7365 |
| 5 | 2455 |
| 491 | 491 |
| 1 |
Prime factors of 7365 are 3, 5,491. Prime factorization of 7365 in exponential form is:
7365 = 31×51×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 7361 and 7365.
LCM(7361,7365) = 31×51×171×4331×4911
LCM(7361,7365) = 54213765
Factors of 7361
List of positive integer factors of 7361 that divides 7361 without a remainder.
1, 17, 433, 7361
Factors of 7365
List of positive integer factors of 7365 that divides 7365 without a remainder.
1, 3, 5, 15, 491, 1473, 2455, 7365
Least Common Multiple of 7361 and 7365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7361 and 7365, than apply into the LCM equation.
GCF(7361,7365) = 1
LCM(7361,7365) = ( 7361 × 7365) / 1
LCM(7361,7365) = 54213765 / 1
LCM(7361,7365) = 54213765
Properties of LCM 7361 and 7365
(i) The LCM of 7365 and 7361 is associative
LCM of 7361 and 7365 = LCM of 7365 and 7361
Related Least Common Multiples of 7361
Related Least Common Multiples of 7365
Frequently Asked Questions on LCM of 7361 and 7365
1. What is the LCM of 7361 and 7365?
Answer: LCM of 7361 and 7365 is 54213765.
2. What are the Factors of 7361?
Answer: Factors of 7361 are 1, 17, 433, 7361. There are 4 integers that are factors of 7361. The greatest factor of 7361 is 7361.
3. What are the Factors of 7365?
Answer: Factors of 7365 are 1, 3, 5, 15, 491, 1473, 2455, 7365. There are 8 integers that are factors of 7365. The greatest factor of 7365 is 7365.
4. How to Find the LCM of 7361 and 7365?
Answer:
Least Common Multiple of 7361 and 7365 = 54213765
Step 1: Find the prime factorization of 7361
7361 = 17 x 433
Step 2: Find the prime factorization of 7365
7365 = 3 x 5 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 54213765 = 3 x 5 x 17 x 433 x 491
Step 4: Therefore, the least common multiple of 7361 and 7365 is 54213765.