Least Common Multiple of 357 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 357 and 365 the smallest integer that is 130305 that is divisible by both numbers.
Least Common Multiple (LCM) of 357 and 365 is 130305.
LCM(357,365) = 130305
LCM of 357 and 365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 357 and 365 by Prime method
- Least Common Multiple of 357 and 365 with GCF Formula
LCM of 357 and 365 is 130305
Least common multiple can be found by multiplying the highest exponent prime factors of 357 and 365. First we will calculate the prime factors of 357 and 365.
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 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 357 and 365.
LCM(357,365) = 31×51×71×171×731
LCM(357,365) = 130305
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 365
List of positive integer factors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Least Common Multiple of 357 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 357 and 365, than apply into the LCM equation.
GCF(357,365) = 1
LCM(357,365) = ( 357 × 365) / 1
LCM(357,365) = 130305 / 1
LCM(357,365) = 130305
Properties of LCM 357 and 365
(i) The LCM of 365 and 357 is associative
LCM of 357 and 365 = LCM of 365 and 357
Related Least Common Multiples of 357
Related Least Common Multiples of 365
Frequently Asked Questions on LCM of 357 and 365
1. What is the LCM of 357 and 365?
Answer: LCM of 357 and 365 is 130305.
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 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 357 and 365?
Answer:
Least Common Multiple of 357 and 365 = 130305
Step 1: Find the prime factorization of 357
357 = 3 x 7 x 17
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 = 130305 = 3 x 5 x 7 x 17 x 73
Step 4: Therefore, the least common multiple of 357 and 365 is 130305.