Least Common Multiple of 7182 and 7188
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7182 and 7188 the smallest integer that is 8604036 that is divisible by both numbers.
Least Common Multiple (LCM) of 7182 and 7188 is 8604036.
LCM(7182,7188) = 8604036
LCM of 7182 and 7188
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7182 and 7188 by Prime method
- Least Common Multiple of 7182 and 7188 with GCF Formula
LCM of 7182 and 7188 is 8604036
Least common multiple can be found by multiplying the highest exponent prime factors of 7182 and 7188. First we will calculate the prime factors of 7182 and 7188.
Prime Factorization of 7182
| 2 | 7182 |
| 3 | 3591 |
| 3 | 1197 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 7182 are 2, 3, 7,19. Prime factorization of 7182 in exponential form is:
7182 = 21×33×71×191
Prime Factorization of 7188
| 2 | 7188 |
| 2 | 3594 |
| 3 | 1797 |
| 599 | 599 |
| 1 |
Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:
7188 = 22×31×5991
Now multiplying the highest exponent prime factors to calculate the LCM of 7182 and 7188.
LCM(7182,7188) = 22×33×71×191×5991
LCM(7182,7188) = 8604036
Factors of 7182
List of positive integer factors of 7182 that divides 7182 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182
Factors of 7188
List of positive integer factors of 7188 that divides 7188 without a remainder.
1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188
Least Common Multiple of 7182 and 7188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7182 and 7188, than apply into the LCM equation.
GCF(7182,7188) = 6
LCM(7182,7188) = ( 7182 × 7188) / 6
LCM(7182,7188) = 51624216 / 6
LCM(7182,7188) = 8604036
Properties of LCM 7182 and 7188
(i) The LCM of 7188 and 7182 is associative
LCM of 7182 and 7188 = LCM of 7188 and 7182
Related Least Common Multiples of 7182
Related Least Common Multiples of 7188
Frequently Asked Questions on LCM of 7182 and 7188
1. What is the LCM of 7182 and 7188?
Answer: LCM of 7182 and 7188 is 8604036.
2. What are the Factors of 7182?
Answer: Factors of 7182 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 27, 38, 42, 54, 57, 63, 114, 126, 133, 171, 189, 266, 342, 378, 399, 513, 798, 1026, 1197, 2394, 3591, 7182. There are 32 integers that are factors of 7182. The greatest factor of 7182 is 7182.
3. What are the Factors of 7188?
Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.
4. How to Find the LCM of 7182 and 7188?
Answer:
Least Common Multiple of 7182 and 7188 = 8604036
Step 1: Find the prime factorization of 7182
7182 = 2 x 3 x 3 x 3 x 7 x 19
Step 2: Find the prime factorization of 7188
7188 = 2 x 2 x 3 x 599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8604036 = 2 x 2 x 3 x 3 x 3 x 7 x 19 x 599
Step 4: Therefore, the least common multiple of 7182 and 7188 is 8604036.