Least Common Multiple of 8178 and 8183
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 8183 the smallest integer that is 66920574 that is divisible by both numbers.
Least Common Multiple (LCM) of 8178 and 8183 is 66920574.
LCM(8178,8183) = 66920574
LCM of 8178 and 8183
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8178 and 8183 by Prime method
- Least Common Multiple of 8178 and 8183 with GCF Formula
LCM of 8178 and 8183 is 66920574
Least common multiple can be found by multiplying the highest exponent prime factors of 8178 and 8183. First we will calculate the prime factors of 8178 and 8183.
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 8183
| 7 | 8183 |
| 7 | 1169 |
| 167 | 167 |
| 1 |
Prime factors of 8183 are 7,167. Prime factorization of 8183 in exponential form is:
8183 = 72×1671
Now multiplying the highest exponent prime factors to calculate the LCM of 8178 and 8183.
LCM(8178,8183) = 21×31×72×291×471×1671
LCM(8178,8183) = 66920574
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 8183
List of positive integer factors of 8183 that divides 8183 without a remainder.
1, 7, 49, 167, 1169, 8183
Least Common Multiple of 8178 and 8183 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 8183, than apply into the LCM equation.
GCF(8178,8183) = 1
LCM(8178,8183) = ( 8178 × 8183) / 1
LCM(8178,8183) = 66920574 / 1
LCM(8178,8183) = 66920574
Properties of LCM 8178 and 8183
(i) The LCM of 8183 and 8178 is associative
LCM of 8178 and 8183 = LCM of 8183 and 8178
Related Least Common Multiples of 8178
Related Least Common Multiples of 8183
Frequently Asked Questions on LCM of 8178 and 8183
1. What is the LCM of 8178 and 8183?
Answer: LCM of 8178 and 8183 is 66920574.
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 8183?
Answer: Factors of 8183 are 1, 7, 49, 167, 1169, 8183. There are 6 integers that are factors of 8183. The greatest factor of 8183 is 8183.
4. How to Find the LCM of 8178 and 8183?
Answer:
Least Common Multiple of 8178 and 8183 = 66920574
Step 1: Find the prime factorization of 8178
8178 = 2 x 3 x 29 x 47
Step 2: Find the prime factorization of 8183
8183 = 7 x 7 x 167
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 66920574 = 2 x 3 x 7 x 7 x 29 x 47 x 167
Step 4: Therefore, the least common multiple of 8178 and 8183 is 66920574.