Least Common Multiple of 2475 and 2479
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 2479 the smallest integer that is 6135525 that is divisible by both numbers.
Least Common Multiple (LCM) of 2475 and 2479 is 6135525.
LCM(2475,2479) = 6135525
LCM of 2475 and 2479
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2475 and 2479 by Prime method
- Least Common Multiple of 2475 and 2479 with GCF Formula
LCM of 2475 and 2479 is 6135525
Least common multiple can be found by multiplying the highest exponent prime factors of 2475 and 2479. First we will calculate the prime factors of 2475 and 2479.
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 2479
| 37 | 2479 |
| 67 | 67 |
| 1 |
Prime factors of 2479 are 37,67. Prime factorization of 2479 in exponential form is:
2479 = 371×671
Now multiplying the highest exponent prime factors to calculate the LCM of 2475 and 2479.
LCM(2475,2479) = 32×52×111×371×671
LCM(2475,2479) = 6135525
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 2479
List of positive integer factors of 2479 that divides 2479 without a remainder.
1, 37, 67, 2479
Least Common Multiple of 2475 and 2479 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 2479, than apply into the LCM equation.
GCF(2475,2479) = 1
LCM(2475,2479) = ( 2475 × 2479) / 1
LCM(2475,2479) = 6135525 / 1
LCM(2475,2479) = 6135525
Properties of LCM 2475 and 2479
(i) The LCM of 2479 and 2475 is associative
LCM of 2475 and 2479 = LCM of 2479 and 2475
Related Least Common Multiples of 2475
Related Least Common Multiples of 2479
Frequently Asked Questions on LCM of 2475 and 2479
1. What is the LCM of 2475 and 2479?
Answer: LCM of 2475 and 2479 is 6135525.
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 2479?
Answer: Factors of 2479 are 1, 37, 67, 2479. There are 4 integers that are factors of 2479. The greatest factor of 2479 is 2479.
4. How to Find the LCM of 2475 and 2479?
Answer:
Least Common Multiple of 2475 and 2479 = 6135525
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 2479
2479 = 37 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6135525 = 3 x 3 x 5 x 5 x 11 x 37 x 67
Step 4: Therefore, the least common multiple of 2475 and 2479 is 6135525.