Least Common Multiple of 361 and 369
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 369 the smallest integer that is 133209 that is divisible by both numbers.
Least Common Multiple (LCM) of 361 and 369 is 133209.
LCM(361,369) = 133209
LCM of 361 and 369
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 361 and 369 by Prime method
- Least Common Multiple of 361 and 369 with GCF Formula
LCM of 361 and 369 is 133209
Least common multiple can be found by multiplying the highest exponent prime factors of 361 and 369. First we will calculate the prime factors of 361 and 369.
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 369
| 3 | 369 |
| 3 | 123 |
| 41 | 41 |
| 1 |
Prime factors of 369 are 3,41. Prime factorization of 369 in exponential form is:
369 = 32×411
Now multiplying the highest exponent prime factors to calculate the LCM of 361 and 369.
LCM(361,369) = 32×192×411
LCM(361,369) = 133209
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1, 19, 361
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Least Common Multiple of 361 and 369 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 369, than apply into the LCM equation.
GCF(361,369) = 1
LCM(361,369) = ( 361 × 369) / 1
LCM(361,369) = 133209 / 1
LCM(361,369) = 133209
Properties of LCM 361 and 369
(i) The LCM of 369 and 361 is associative
LCM of 361 and 369 = LCM of 369 and 361
Related Least Common Multiples of 361
Related Least Common Multiples of 369
Frequently Asked Questions on LCM of 361 and 369
1. What is the LCM of 361 and 369?
Answer: LCM of 361 and 369 is 133209.
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 369?
Answer: Factors of 369 are 1, 3, 9, 41, 123, 369. There are 6 integers that are factors of 369. The greatest factor of 369 is 369.
4. How to Find the LCM of 361 and 369?
Answer:
Least Common Multiple of 361 and 369 = 133209
Step 1: Find the prime factorization of 361
361 = 19 x 19
Step 2: Find the prime factorization of 369
369 = 3 x 3 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 133209 = 3 x 3 x 19 x 19 x 41
Step 4: Therefore, the least common multiple of 361 and 369 is 133209.