Least Common Multiple of 8357 and 8362
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 8362 the smallest integer that is 69881234 that is divisible by both numbers.
Least Common Multiple (LCM) of 8357 and 8362 is 69881234.
LCM(8357,8362) = 69881234
LCM of 8357 and 8362
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8357 and 8362 by Prime method
- Least Common Multiple of 8357 and 8362 with GCF Formula
LCM of 8357 and 8362 is 69881234
Least common multiple can be found by multiplying the highest exponent prime factors of 8357 and 8362. First we will calculate the prime factors of 8357 and 8362.
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 8362
| 2 | 8362 |
| 37 | 4181 |
| 113 | 113 |
| 1 |
Prime factors of 8362 are 2, 37,113. Prime factorization of 8362 in exponential form is:
8362 = 21×371×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 8357 and 8362.
LCM(8357,8362) = 21×371×611×1131×1371
LCM(8357,8362) = 69881234
Factors of 8357
List of positive integer factors of 8357 that divides 8357 without a remainder.
1, 61, 137, 8357
Factors of 8362
List of positive integer factors of 8362 that divides 8362 without a remainder.
1, 2, 37, 74, 113, 226, 4181, 8362
Least Common Multiple of 8357 and 8362 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 8362, than apply into the LCM equation.
GCF(8357,8362) = 1
LCM(8357,8362) = ( 8357 × 8362) / 1
LCM(8357,8362) = 69881234 / 1
LCM(8357,8362) = 69881234
Properties of LCM 8357 and 8362
(i) The LCM of 8362 and 8357 is associative
LCM of 8357 and 8362 = LCM of 8362 and 8357
Related Least Common Multiples of 8357
Related Least Common Multiples of 8362
Frequently Asked Questions on LCM of 8357 and 8362
1. What is the LCM of 8357 and 8362?
Answer: LCM of 8357 and 8362 is 69881234.
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 8362?
Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.
4. How to Find the LCM of 8357 and 8362?
Answer:
Least Common Multiple of 8357 and 8362 = 69881234
Step 1: Find the prime factorization of 8357
8357 = 61 x 137
Step 2: Find the prime factorization of 8362
8362 = 2 x 37 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69881234 = 2 x 37 x 61 x 113 x 137
Step 4: Therefore, the least common multiple of 8357 and 8362 is 69881234.