Least Common Multiple of 361 and 365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 361 and 365 the smallest integer that is 131765 that is divisible by both numbers.
Least Common Multiple (LCM) of 361 and 365 is 131765.
LCM(361,365) = 131765
LCM of 361 and 365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 361 and 365 by Prime method
- Least Common Multiple of 361 and 365 with GCF Formula
LCM of 361 and 365 is 131765
Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 365. First we will calculate the prime factors of 361 and 365.
Prime Factorization of 361
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 361 are 19. Prime factorization of 361 in exponential form is:
361 = 192
Prime Factorization of 365
| 5 | 365 |
| 73 | 73 |
| 1 |
Prime factors of 365 are 5,73. Prime factorization of 365 in exponential form is:
365 = 51×731
Now multiplying the highest exponent prime factors to calculate the LCM of 361 and 365.
LCM(361,365) = 51×192×731
LCM(361,365) = 131765
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1, 19, 361
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Least Common Multiple of 361 and 365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 361 and 365, than apply into the LCM equation.
GCF(361,365) = 1
LCM(361,365) = ( 361 × 365) / 1
LCM(361,365) = 131765 / 1
LCM(361,365) = 131765
Properties of LCM 361 and 365
(i) The LCM of 365 and 361 is associative
LCM of 361 and 365 = LCM of 365 and 361
Related Least Common Multiples of 361
Related Least Common Multiples of 365
Frequently Asked Questions on LCM of 361 and 365
1. What is the LCM of 361 and 365?
Answer: LCM of 361 and 365 is 131765.
2. What are the Factors of 361?
Answer: Factors of 361 are 1, 19, 361. There are 3 integers that are factors of 361. The greatest factor of 361 is 361.
3. What are the Factors of 365?
Answer: Factors of 365 are 1, 5, 73, 365. There are 4 integers that are factors of 365. The greatest factor of 365 is 365.
4. How to Find the LCM of 361 and 365?
Answer:
Least Common Multiple of 361 and 365 = 131765
Step 1: Find the prime factorization of 361
361 = 19 x 19
Step 2: Find the prime factorization of 365
365 = 5 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 131765 = 5 x 19 x 19 x 73
Step 4: Therefore, the least common multiple of 361 and 365 is 131765.