Least Common Multiple of 2475 and 2483
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2475 and 2483 the smallest integer that is 6145425 that is divisible by both numbers.
Least Common Multiple (LCM) of 2475 and 2483 is 6145425.
LCM(2475,2483) = 6145425
LCM of 2475 and 2483
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2475 and 2483 by Prime method
- Least Common Multiple of 2475 and 2483 with GCF Formula
LCM of 2475 and 2483 is 6145425
Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2483. First we will calculate the prime factors of 2475 and 2483.
Prime Factorization of 2475
| 3 | 2475 |
| 3 | 825 |
| 5 | 275 |
| 5 | 55 |
| 11 | 11 |
| 1 |
Prime factors of 2475 are 3, 5,11. Prime factorization of 2475 in exponential form is:
2475 = 32×52×111
Prime Factorization of 2483
| 13 | 2483 |
| 191 | 191 |
| 1 |
Prime factors of 2483 are 13,191. Prime factorization of 2483 in exponential form is:
2483 = 131×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2483.
LCM(2475,2483) = 32×52×111×131×1911
LCM(2475,2483) = 6145425
Factors of 2475
List of positive integer factors of 2475 that divides 2475 without a remainder.
1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475
Factors of 2483
List of positive integer factors of 2483 that divides 2483 without a remainder.
1, 13, 191, 2483
Least Common Multiple of 2475 and 2483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2475 and 2483, than apply into the LCM equation.
GCF(2475,2483) = 1
LCM(2475,2483) = ( 2475 × 2483) / 1
LCM(2475,2483) = 6145425 / 1
LCM(2475,2483) = 6145425
Properties of LCM 2475 and 2483
(i) The LCM of 2483 and 2475 is associative
LCM of 2475 and 2483 = LCM of 2483 and 2475
Related Least Common Multiples of 2475
Related Least Common Multiples of 2483
Frequently Asked Questions on LCM of 2475 and 2483
1. What is the LCM of 2475 and 2483?
Answer: LCM of 2475 and 2483 is 6145425.
2. What are the Factors of 2475?
Answer: Factors of 2475 are 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475. There are 18 integers that are factors of 2475. The greatest factor of 2475 is 2475.
3. What are the Factors of 2483?
Answer: Factors of 2483 are 1, 13, 191, 2483. There are 4 integers that are factors of 2483. The greatest factor of 2483 is 2483.
4. How to Find the LCM of 2475 and 2483?
Answer:
Least Common Multiple of 2475 and 2483 = 6145425
Step 1: Find the prime factorization of 2475
2475 = 3 x 3 x 5 x 5 x 11
Step 2: Find the prime factorization of 2483
2483 = 13 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6145425 = 3 x 3 x 5 x 5 x 11 x 13 x 191
Step 4: Therefore, the least common multiple of 2475 and 2483 is 6145425.