Least Common Multiple of 8366 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 8366 and 8371 the smallest integer that is 70031786 that is divisible by both numbers.
Least Common Multiple (LCM) of 8366 and 8371 is 70031786.
LCM(8366,8371) = 70031786
LCM of 8366 and 8371
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8366 and 8371 by Prime method
- Least Common Multiple of 8366 and 8371 with GCF Formula
LCM of 8366 and 8371 is 70031786
Least common multiple can be found by multiplying the highest exponent prime factors of 8366 and 8371. First we will calculate the prime factors of 8366 and 8371.
Prime Factorization of 8366
| 2 | 8366 |
| 47 | 4183 |
| 89 | 89 |
| 1 |
Prime factors of 8366 are 2, 47,89. Prime factorization of 8366 in exponential form is:
8366 = 21×471×891
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 8366 and 8371.
LCM(8366,8371) = 21×111×471×891×7611
LCM(8366,8371) = 70031786
Factors of 8366
List of positive integer factors of 8366 that divides 8366 without a remainder.
1, 2, 47, 89, 94, 178, 4183, 8366
Factors of 8371
List of positive integer factors of 8371 that divides 8371 without a remainder.
1, 11, 761, 8371
Least Common Multiple of 8366 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 8366 and 8371, than apply into the LCM equation.
GCF(8366,8371) = 1
LCM(8366,8371) = ( 8366 × 8371) / 1
LCM(8366,8371) = 70031786 / 1
LCM(8366,8371) = 70031786
Properties of LCM 8366 and 8371
(i) The LCM of 8371 and 8366 is associative
LCM of 8366 and 8371 = LCM of 8371 and 8366
Related Least Common Multiples of 8366
Related Least Common Multiples of 8371
Frequently Asked Questions on LCM of 8366 and 8371
1. What is the LCM of 8366 and 8371?
Answer: LCM of 8366 and 8371 is 70031786.
2. What are the Factors of 8366?
Answer: Factors of 8366 are 1, 2, 47, 89, 94, 178, 4183, 8366. There are 8 integers that are factors of 8366. The greatest factor of 8366 is 8366.
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 8366 and 8371?
Answer:
Least Common Multiple of 8366 and 8371 = 70031786
Step 1: Find the prime factorization of 8366
8366 = 2 x 47 x 89
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 = 70031786 = 2 x 11 x 47 x 89 x 761
Step 4: Therefore, the least common multiple of 8366 and 8371 is 70031786.