Least Common Multiple of 8178 and 8185
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8178 and 8185 the smallest integer that is 66936930 that is divisible by both numbers.
Least Common Multiple (LCM) of 8178 and 8185 is 66936930.
LCM(8178,8185) = 66936930
LCM of 8178 and 8185
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8178 and 8185 by Prime method
- Least Common Multiple of 8178 and 8185 with GCF Formula
LCM of 8178 and 8185 is 66936930
Least common multiple can be found by multiplying the highest exponent prime factors of 8178 and 8185. First we will calculate the prime factors of 8178 and 8185.
Prime Factorization of 8178
| 2 | 8178 |
| 3 | 4089 |
| 29 | 1363 |
| 47 | 47 |
| 1 |
Prime factors of 8178 are 2, 3, 29,47. Prime factorization of 8178 in exponential form is:
8178 = 21×31×291×471
Prime Factorization of 8185
| 5 | 8185 |
| 1637 | 1637 |
| 1 |
Prime factors of 8185 are 5,1637. Prime factorization of 8185 in exponential form is:
8185 = 51×16371
Now multiplying the highest exponent prime factors to calculate the LCM of 8178 and 8185.
LCM(8178,8185) = 21×31×51×291×471×16371
LCM(8178,8185) = 66936930
Factors of 8178
List of positive integer factors of 8178 that divides 8178 without a remainder.
1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
Factors of 8185
List of positive integer factors of 8185 that divides 8185 without a remainder.
1, 5, 1637, 8185
Least Common Multiple of 8178 and 8185 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8178 and 8185, than apply into the LCM equation.
GCF(8178,8185) = 1
LCM(8178,8185) = ( 8178 × 8185) / 1
LCM(8178,8185) = 66936930 / 1
LCM(8178,8185) = 66936930
Properties of LCM 8178 and 8185
(i) The LCM of 8185 and 8178 is associative
LCM of 8178 and 8185 = LCM of 8185 and 8178
Related Least Common Multiples of 8178
Related Least Common Multiples of 8185
Frequently Asked Questions on LCM of 8178 and 8185
1. What is the LCM of 8178 and 8185?
Answer: LCM of 8178 and 8185 is 66936930.
2. What are the Factors of 8178?
Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.
3. What are the Factors of 8185?
Answer: Factors of 8185 are 1, 5, 1637, 8185. There are 4 integers that are factors of 8185. The greatest factor of 8185 is 8185.
4. How to Find the LCM of 8178 and 8185?
Answer:
Least Common Multiple of 8178 and 8185 = 66936930
Step 1: Find the prime factorization of 8178
8178 = 2 x 3 x 29 x 47
Step 2: Find the prime factorization of 8185
8185 = 5 x 1637
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66936930 = 2 x 3 x 5 x 29 x 47 x 1637
Step 4: Therefore, the least common multiple of 8178 and 8185 is 66936930.