Least Common Multiple of 8342 and 8347
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8342 and 8347 the smallest integer that is 69630674 that is divisible by both numbers.
Least Common Multiple (LCM) of 8342 and 8347 is 69630674.
LCM(8342,8347) = 69630674
LCM of 8342 and 8347
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8342 and 8347 by Prime method
- Least Common Multiple of 8342 and 8347 with GCF Formula
LCM of 8342 and 8347 is 69630674
Least common multiple can be found by multiplying the highest exponent prime factors of 8342 and 8347. First we will calculate the prime factors of 8342 and 8347.
Prime Factorization of 8342
| 2 | 8342 |
| 43 | 4171 |
| 97 | 97 |
| 1 |
Prime factors of 8342 are 2, 43,97. Prime factorization of 8342 in exponential form is:
8342 = 21×431×971
Prime Factorization of 8347
| 17 | 8347 |
| 491 | 491 |
| 1 |
Prime factors of 8347 are 17,491. Prime factorization of 8347 in exponential form is:
8347 = 171×4911
Now multiplying the highest exponent prime factors to calculate the LCM of 8342 and 8347.
LCM(8342,8347) = 21×171×431×971×4911
LCM(8342,8347) = 69630674
Factors of 8342
List of positive integer factors of 8342 that divides 8342 without a remainder.
1, 2, 43, 86, 97, 194, 4171, 8342
Factors of 8347
List of positive integer factors of 8347 that divides 8347 without a remainder.
1, 17, 491, 8347
Least Common Multiple of 8342 and 8347 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8342 and 8347, than apply into the LCM equation.
GCF(8342,8347) = 1
LCM(8342,8347) = ( 8342 × 8347) / 1
LCM(8342,8347) = 69630674 / 1
LCM(8342,8347) = 69630674
Properties of LCM 8342 and 8347
(i) The LCM of 8347 and 8342 is associative
LCM of 8342 and 8347 = LCM of 8347 and 8342
Related Least Common Multiples of 8342
Related Least Common Multiples of 8347
Frequently Asked Questions on LCM of 8342 and 8347
1. What is the LCM of 8342 and 8347?
Answer: LCM of 8342 and 8347 is 69630674.
2. What are the Factors of 8342?
Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.
3. What are the Factors of 8347?
Answer: Factors of 8347 are 1, 17, 491, 8347. There are 4 integers that are factors of 8347. The greatest factor of 8347 is 8347.
4. How to Find the LCM of 8342 and 8347?
Answer:
Least Common Multiple of 8342 and 8347 = 69630674
Step 1: Find the prime factorization of 8342
8342 = 2 x 43 x 97
Step 2: Find the prime factorization of 8347
8347 = 17 x 491
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 69630674 = 2 x 17 x 43 x 97 x 491
Step 4: Therefore, the least common multiple of 8342 and 8347 is 69630674.