Least Common Multiple of 357 and 361
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 357 and 361 the smallest integer that is 128877 that is divisible by both numbers.
Least Common Multiple (LCM) of 357 and 361 is 128877.
LCM(357,361) = 128877
LCM of 357 and 361
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 357 and 361 by Prime method
- Least Common Multiple of 357 and 361 with GCF Formula
LCM of 357 and 361 is 128877
Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 361. First we will calculate the prime factors of 357 and 361.
Prime Factorization of 357
| 3 | 357 |
| 7 | 119 |
| 17 | 17 |
| 1 |
Prime factors of 357 are 3, 7,17. Prime factorization of 357 in exponential form is:
357 = 31×71×171
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
Now multiplying the highest exponent prime factors to calculate the LCM of 357 and 361.
LCM(357,361) = 31×71×171×192
LCM(357,361) = 128877
Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Factors of 361
List of positive integer factors of 361 that divides 361 without a remainder.
1, 19, 361
Least Common Multiple of 357 and 361 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 357 and 361, than apply into the LCM equation.
GCF(357,361) = 1
LCM(357,361) = ( 357 × 361) / 1
LCM(357,361) = 128877 / 1
LCM(357,361) = 128877
Properties of LCM 357 and 361
(i) The LCM of 361 and 357 is associative
LCM of 357 and 361 = LCM of 361 and 357
Related Least Common Multiples of 357
Related Least Common Multiples of 361
Frequently Asked Questions on LCM of 357 and 361
1. What is the LCM of 357 and 361?
Answer: LCM of 357 and 361 is 128877.
2. What are the Factors of 357?
Answer: Factors of 357 are 1, 3, 7, 17, 21, 51, 119, 357. There are 8 integers that are factors of 357. The greatest factor of 357 is 357.
3. 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.
4. How to Find the LCM of 357 and 361?
Answer:
Least Common Multiple of 357 and 361 = 128877
Step 1: Find the prime factorization of 357
357 = 3 x 7 x 17
Step 2: Find the prime factorization of 361
361 = 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 128877 = 3 x 7 x 17 x 19 x 19
Step 4: Therefore, the least common multiple of 357 and 361 is 128877.