Least Common Multiple of 7482 and 7483
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 7483 the smallest integer that is 55987806 that is divisible by both numbers.
Least Common Multiple (LCM) of 7482 and 7483 is 55987806.
LCM(7482,7483) = 55987806
LCM of 7482 and 7483
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7482 and 7483 by Prime method
- Least Common Multiple of 7482 and 7483 with GCF Formula
LCM of 7482 and 7483 is 55987806
Least common multiple can be found by multiplying the highest exponent prime factors of 7482 and 7483. First we will calculate the prime factors of 7482 and 7483.
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 7483
| 7 | 7483 |
| 1069 | 1069 |
| 1 |
Prime factors of 7483 are 7,1069. Prime factorization of 7483 in exponential form is:
7483 = 71×10691
Now multiplying the highest exponent prime factors to calculate the LCM of 7482 and 7483.
LCM(7482,7483) = 21×31×71×291×431×10691
LCM(7482,7483) = 55987806
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 7483
List of positive integer factors of 7483 that divides 7483 without a remainder.
1, 7, 1069, 7483
Least Common Multiple of 7482 and 7483 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 7483, than apply into the LCM equation.
GCF(7482,7483) = 1
LCM(7482,7483) = ( 7482 × 7483) / 1
LCM(7482,7483) = 55987806 / 1
LCM(7482,7483) = 55987806
Properties of LCM 7482 and 7483
(i) The LCM of 7483 and 7482 is associative
LCM of 7482 and 7483 = LCM of 7483 and 7482
Related Least Common Multiples of 7482
Related Least Common Multiples of 7483
Frequently Asked Questions on LCM of 7482 and 7483
1. What is the LCM of 7482 and 7483?
Answer: LCM of 7482 and 7483 is 55987806.
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 7483?
Answer: Factors of 7483 are 1, 7, 1069, 7483. There are 4 integers that are factors of 7483. The greatest factor of 7483 is 7483.
4. How to Find the LCM of 7482 and 7483?
Answer:
Least Common Multiple of 7482 and 7483 = 55987806
Step 1: Find the prime factorization of 7482
7482 = 2 x 3 x 29 x 43
Step 2: Find the prime factorization of 7483
7483 = 7 x 1069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55987806 = 2 x 3 x 7 x 29 x 43 x 1069
Step 4: Therefore, the least common multiple of 7482 and 7483 is 55987806.