Least Common Multiple of 8357 and 8365
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8357 and 8365 the smallest integer that is 69906305 that is divisible by both numbers.
Least Common Multiple (LCM) of 8357 and 8365 is 69906305.
LCM(8357,8365) = 69906305
LCM of 8357 and 8365
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8357 and 8365 by Prime method
- Least Common Multiple of 8357 and 8365 with GCF Formula
LCM of 8357 and 8365 is 69906305
Least common multiple can be found by multiplying the highest exponent prime factors of 8357 and 8365. First we will calculate the prime factors of 8357 and 8365.
Prime Factorization of 8357
| 61 | 8357 |
| 137 | 137 |
| 1 |
Prime factors of 8357 are 61,137. Prime factorization of 8357 in exponential form is:
8357 = 611×1371
Prime Factorization of 8365
| 5 | 8365 |
| 7 | 1673 |
| 239 | 239 |
| 1 |
Prime factors of 8365 are 5, 7,239. Prime factorization of 8365 in exponential form is:
8365 = 51×71×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 8357 and 8365.
LCM(8357,8365) = 51×71×611×1371×2391
LCM(8357,8365) = 69906305
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1, 61, 137, 8357
Factors of 8365
List of positive integer factors of 8365 that divides 8365 without a remainder.
1, 5, 7, 35, 239, 1195, 1673, 8365
Least Common Multiple of 8357 and 8365 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8357 and 8365, than apply into the LCM equation.
GCF(8357,8365) = 1
LCM(8357,8365) = ( 8357 × 8365) / 1
LCM(8357,8365) = 69906305 / 1
LCM(8357,8365) = 69906305
Properties of LCM 8357 and 8365
(i) The LCM of 8365 and 8357 is associative
LCM of 8357 and 8365 = LCM of 8365 and 8357
Related Least Common Multiples of 8357
Related Least Common Multiples of 8365
Frequently Asked Questions on LCM of 8357 and 8365
1. What is the LCM of 8357 and 8365?
Answer: LCM of 8357 and 8365 is 69906305.
2. What are the Factors of 8357?
Answer: Factors of 8357 are 1, 61, 137, 8357. There are 4 integers that are factors of 8357. The greatest factor of 8357 is 8357.
3. What are the Factors of 8365?
Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.
4. How to Find the LCM of 8357 and 8365?
Answer:
Least Common Multiple of 8357 and 8365 = 69906305
Step 1: Find the prime factorization of 8357
8357 = 61 x 137
Step 2: Find the prime factorization of 8365
8365 = 5 x 7 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69906305 = 5 x 7 x 61 x 137 x 239
Step 4: Therefore, the least common multiple of 8357 and 8365 is 69906305.