Least Common Multiple of 7182 and 7189
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 7189 the smallest integer that is 7375914 that is divisible by both numbers.
Least Common Multiple (LCM) of 7182 and 7189 is 7375914.
LCM(7182,7189) = 7375914
LCM of 7182 and 7189
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7182 and 7189 by Prime method
- Least Common Multiple of 7182 and 7189 with GCF Formula
LCM of 7182 and 7189 is 7375914
Least common multiple can be found by multiplying the highest exponent prime factors of 7182 and 7189. First we will calculate the prime factors of 7182 and 7189.
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 7189
| 7 | 7189 |
| 13 | 1027 |
| 79 | 79 |
| 1 |
Prime factors of 7189 are 7, 13,79. Prime factorization of 7189 in exponential form is:
7189 = 71×131×791
Now multiplying the highest exponent prime factors to calculate the LCM of 7182 and 7189.
LCM(7182,7189) = 21×33×71×131×191×791
LCM(7182,7189) = 7375914
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 7189
List of positive integer factors of 7189 that divides 7189 without a remainder.
1, 7, 13, 79, 91, 553, 1027, 7189
Least Common Multiple of 7182 and 7189 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 7189, than apply into the LCM equation.
GCF(7182,7189) = 7
LCM(7182,7189) = ( 7182 × 7189) / 7
LCM(7182,7189) = 51631398 / 7
LCM(7182,7189) = 7375914
Properties of LCM 7182 and 7189
(i) The LCM of 7189 and 7182 is associative
LCM of 7182 and 7189 = LCM of 7189 and 7182
Related Least Common Multiples of 7182
Related Least Common Multiples of 7189
Frequently Asked Questions on LCM of 7182 and 7189
1. What is the LCM of 7182 and 7189?
Answer: LCM of 7182 and 7189 is 7375914.
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 7189?
Answer: Factors of 7189 are 1, 7, 13, 79, 91, 553, 1027, 7189. There are 8 integers that are factors of 7189. The greatest factor of 7189 is 7189.
4. How to Find the LCM of 7182 and 7189?
Answer:
Least Common Multiple of 7182 and 7189 = 7375914
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 7189
7189 = 7 x 13 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7375914 = 2 x 3 x 3 x 3 x 7 x 13 x 19 x 79
Step 4: Therefore, the least common multiple of 7182 and 7189 is 7375914.