Least Common Multiple of 2535 and 2542
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2535 and 2542 the smallest integer that is 6443970 that is divisible by both numbers.
Least Common Multiple (LCM) of 2535 and 2542 is 6443970.
LCM(2535,2542) = 6443970
LCM of 2535 and 2542
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2535 and 2542 by Prime method
- Least Common Multiple of 2535 and 2542 with GCF Formula
LCM of 2535 and 2542 is 6443970
Least common multiple can be found by multiplying the highest exponent prime factors of 2535 and 2542. First we will calculate the prime factors of 2535 and 2542.
Prime Factorization of 2535
| 3 | 2535 |
| 5 | 845 |
| 13 | 169 |
| 13 | 13 |
| 1 |
Prime factors of 2535 are 3, 5,13. Prime factorization of 2535 in exponential form is:
2535 = 31×51×132
Prime Factorization of 2542
| 2 | 2542 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 2542 are 2, 31,41. Prime factorization of 2542 in exponential form is:
2542 = 21×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 2535 and 2542.
LCM(2535,2542) = 21×31×51×132×311×411
LCM(2535,2542) = 6443970
Factors of 2535
List of positive integer factors of 2535 that divides 2535 without a remainder.
1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535
Factors of 2542
List of positive integer factors of 2542 that divides 2542 without a remainder.
1, 2, 31, 41, 62, 82, 1271, 2542
Least Common Multiple of 2535 and 2542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2535 and 2542, than apply into the LCM equation.
GCF(2535,2542) = 1
LCM(2535,2542) = ( 2535 × 2542) / 1
LCM(2535,2542) = 6443970 / 1
LCM(2535,2542) = 6443970
Properties of LCM 2535 and 2542
(i) The LCM of 2542 and 2535 is associative
LCM of 2535 and 2542 = LCM of 2542 and 2535
Related Least Common Multiples of 2535
Related Least Common Multiples of 2542
Frequently Asked Questions on LCM of 2535 and 2542
1. What is the LCM of 2535 and 2542?
Answer: LCM of 2535 and 2542 is 6443970.
2. What are the Factors of 2535?
Answer: Factors of 2535 are 1, 3, 5, 13, 15, 39, 65, 169, 195, 507, 845, 2535. There are 12 integers that are factors of 2535. The greatest factor of 2535 is 2535.
3. What are the Factors of 2542?
Answer: Factors of 2542 are 1, 2, 31, 41, 62, 82, 1271, 2542. There are 8 integers that are factors of 2542. The greatest factor of 2542 is 2542.
4. How to Find the LCM of 2535 and 2542?
Answer:
Least Common Multiple of 2535 and 2542 = 6443970
Step 1: Find the prime factorization of 2535
2535 = 3 x 5 x 13 x 13
Step 2: Find the prime factorization of 2542
2542 = 2 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 6443970 = 2 x 3 x 5 x 13 x 13 x 31 x 41
Step 4: Therefore, the least common multiple of 2535 and 2542 is 6443970.