Least Common Multiple of 8365 and 8371
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8365 and 8371 the smallest integer that is 70023415 that is divisible by both numbers.
Least Common Multiple (LCM) of 8365 and 8371 is 70023415.
LCM(8365,8371) = 70023415
LCM of 8365 and 8371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8365 and 8371 by Prime method
- Least Common Multiple of 8365 and 8371 with GCF Formula
LCM of 8365 and 8371 is 70023415
Least common multiple can be found by multiplying the highest exponent prime factors of 8365 and 8371. First we will calculate the prime factors of 8365 and 8371.
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
Prime Factorization of 8371
| 11 | 8371 |
| 761 | 761 |
| 1 |
Prime factors of 8371 are 11,761. Prime factorization of 8371 in exponential form is:
8371 = 111×7611
Now multiplying the highest exponent prime factors to calculate the LCM of 8365 and 8371.
LCM(8365,8371) = 51×71×111×2391×7611
LCM(8365,8371) = 70023415
Factors of 8365
List of positive integer factors of 8365 that divides 8365 without a remainder.
1, 5, 7, 35, 239, 1195, 1673, 8365
Factors of 8371
List of positive integer factors of 8371 that divides 8371 without a remainder.
1, 11, 761, 8371
Least Common Multiple of 8365 and 8371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8365 and 8371, than apply into the LCM equation.
GCF(8365,8371) = 1
LCM(8365,8371) = ( 8365 × 8371) / 1
LCM(8365,8371) = 70023415 / 1
LCM(8365,8371) = 70023415
Properties of LCM 8365 and 8371
(i) The LCM of 8371 and 8365 is associative
LCM of 8365 and 8371 = LCM of 8371 and 8365
Related Least Common Multiples of 8365
Related Least Common Multiples of 8371
Frequently Asked Questions on LCM of 8365 and 8371
1. What is the LCM of 8365 and 8371?
Answer: LCM of 8365 and 8371 is 70023415.
2. 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.
3. What are the Factors of 8371?
Answer: Factors of 8371 are 1, 11, 761, 8371. There are 4 integers that are factors of 8371. The greatest factor of 8371 is 8371.
4. How to Find the LCM of 8365 and 8371?
Answer:
Least Common Multiple of 8365 and 8371 = 70023415
Step 1: Find the prime factorization of 8365
8365 = 5 x 7 x 239
Step 2: Find the prime factorization of 8371
8371 = 11 x 761
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 70023415 = 5 x 7 x 11 x 239 x 761
Step 4: Therefore, the least common multiple of 8365 and 8371 is 70023415.