Least Common Multiple of 5042 and 5049
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5042 and 5049 the smallest integer that is 25457058 that is divisible by both numbers.
Least Common Multiple (LCM) of 5042 and 5049 is 25457058.
LCM(5042,5049) = 25457058
LCM of 5042 and 5049
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5042 and 5049 by Prime method
- Least Common Multiple of 5042 and 5049 with GCF Formula
LCM of 5042 and 5049 is 25457058
Least common multiple can be found by multiplying the highest exponent prime factors of 5042 and 5049. First we will calculate the prime factors of 5042 and 5049.
Prime Factorization of 5042
| 2 | 5042 |
| 2521 | 2521 |
| 1 |
Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:
5042 = 21×25211
Prime Factorization of 5049
| 3 | 5049 |
| 3 | 1683 |
| 3 | 561 |
| 11 | 187 |
| 17 | 17 |
| 1 |
Prime factors of 5049 are 3, 11,17. Prime factorization of 5049 in exponential form is:
5049 = 33×111×171
Now multiplying the highest exponent prime factors to calculate the LCM of 5042 and 5049.
LCM(5042,5049) = 21×33×111×171×25211
LCM(5042,5049) = 25457058
Factors of 5042
List of positive integer factors of 5042 that divides 5042 without a remainder.
1, 2, 2521, 5042
Factors of 5049
List of positive integer factors of 5049 that divides 5049 without a remainder.
1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049
Least Common Multiple of 5042 and 5049 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5042 and 5049, than apply into the LCM equation.
GCF(5042,5049) = 1
LCM(5042,5049) = ( 5042 × 5049) / 1
LCM(5042,5049) = 25457058 / 1
LCM(5042,5049) = 25457058
Properties of LCM 5042 and 5049
(i) The LCM of 5049 and 5042 is associative
LCM of 5042 and 5049 = LCM of 5049 and 5042
Related Least Common Multiples of 5042
Related Least Common Multiples of 5049
Frequently Asked Questions on LCM of 5042 and 5049
1. What is the LCM of 5042 and 5049?
Answer: LCM of 5042 and 5049 is 25457058.
2. What are the Factors of 5042?
Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.
3. What are the Factors of 5049?
Answer: Factors of 5049 are 1, 3, 9, 11, 17, 27, 33, 51, 99, 153, 187, 297, 459, 561, 1683, 5049. There are 16 integers that are factors of 5049. The greatest factor of 5049 is 5049.
4. How to Find the LCM of 5042 and 5049?
Answer:
Least Common Multiple of 5042 and 5049 = 25457058
Step 1: Find the prime factorization of 5042
5042 = 2 x 2521
Step 2: Find the prime factorization of 5049
5049 = 3 x 3 x 3 x 11 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25457058 = 2 x 3 x 3 x 3 x 11 x 17 x 2521
Step 4: Therefore, the least common multiple of 5042 and 5049 is 25457058.