Least Common Multiple of 7482 and 7489
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7482 and 7489 the smallest integer that is 56032698 that is divisible by both numbers.
Least Common Multiple (LCM) of 7482 and 7489 is 56032698.
LCM(7482,7489) = 56032698
LCM of 7482 and 7489
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7482 and 7489 by Prime method
- Least Common Multiple of 7482 and 7489 with GCF Formula
LCM of 7482 and 7489 is 56032698
Least common multiple can be found by multiplying the highest exponent prime factors of 7482 and 7489. First we will calculate the prime factors of 7482 and 7489.
Prime Factorization of 7482
| 2 | 7482 |
| 3 | 3741 |
| 29 | 1247 |
| 43 | 43 |
| 1 |
Prime factors of 7482 are 2, 3, 29,43. Prime factorization of 7482 in exponential form is:
7482 = 21×31×291×431
Prime Factorization of 7489
| 7489 | 7489 |
| 1 |
Prime factors of 7489 are 7489. Prime factorization of 7489 in exponential form is:
7489 = 74891
Now multiplying the highest exponent prime factors to calculate the LCM of 7482 and 7489.
LCM(7482,7489) = 21×31×291×431×74891
LCM(7482,7489) = 56032698
Factors of 7482
List of positive integer factors of 7482 that divides 7482 without a remainder.
1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482
Factors of 7489
List of positive integer factors of 7489 that divides 7489 without a remainder.
1, 7489
Least Common Multiple of 7482 and 7489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7482 and 7489, than apply into the LCM equation.
GCF(7482,7489) = 1
LCM(7482,7489) = ( 7482 × 7489) / 1
LCM(7482,7489) = 56032698 / 1
LCM(7482,7489) = 56032698
Properties of LCM 7482 and 7489
(i) The LCM of 7489 and 7482 is associative
LCM of 7482 and 7489 = LCM of 7489 and 7482
Related Least Common Multiples of 7482
Related Least Common Multiples of 7489
Frequently Asked Questions on LCM of 7482 and 7489
1. What is the LCM of 7482 and 7489?
Answer: LCM of 7482 and 7489 is 56032698.
2. What are the Factors of 7482?
Answer: Factors of 7482 are 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482. There are 16 integers that are factors of 7482. The greatest factor of 7482 is 7482.
3. What are the Factors of 7489?
Answer: Factors of 7489 are 1, 7489. There are 2 integers that are factors of 7489. The greatest factor of 7489 is 7489.
4. How to Find the LCM of 7482 and 7489?
Answer:
Least Common Multiple of 7482 and 7489 = 56032698
Step 1: Find the prime factorization of 7482
7482 = 2 x 3 x 29 x 43
Step 2: Find the prime factorization of 7489
7489 = 7489
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 56032698 = 2 x 3 x 29 x 43 x 7489
Step 4: Therefore, the least common multiple of 7482 and 7489 is 56032698.