Least Common Multiple of 5049 and 5053
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5049 and 5053 the smallest integer that is 25512597 that is divisible by both numbers.
Least Common Multiple (LCM) of 5049 and 5053 is 25512597.
LCM(5049,5053) = 25512597
LCM of 5049 and 5053
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5049 and 5053 by Prime method
- Least Common Multiple of 5049 and 5053 with GCF Formula
LCM of 5049 and 5053 is 25512597
Least common multiple can be found by multiplying the highest exponent prime factors of 5049 and 5053. First we will calculate the prime factors of 5049 and 5053.
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
Prime Factorization of 5053
| 31 | 5053 |
| 163 | 163 |
| 1 |
Prime factors of 5053 are 31,163. Prime factorization of 5053 in exponential form is:
5053 = 311×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 5049 and 5053.
LCM(5049,5053) = 33×111×171×311×1631
LCM(5049,5053) = 25512597
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
Factors of 5053
List of positive integer factors of 5053 that divides 5053 without a remainder.
1, 31, 163, 5053
Least Common Multiple of 5049 and 5053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5049 and 5053, than apply into the LCM equation.
GCF(5049,5053) = 1
LCM(5049,5053) = ( 5049 × 5053) / 1
LCM(5049,5053) = 25512597 / 1
LCM(5049,5053) = 25512597
Properties of LCM 5049 and 5053
(i) The LCM of 5053 and 5049 is associative
LCM of 5049 and 5053 = LCM of 5053 and 5049
Related Least Common Multiples of 5049
Related Least Common Multiples of 5053
Frequently Asked Questions on LCM of 5049 and 5053
1. What is the LCM of 5049 and 5053?
Answer: LCM of 5049 and 5053 is 25512597.
2. 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.
3. What are the Factors of 5053?
Answer: Factors of 5053 are 1, 31, 163, 5053. There are 4 integers that are factors of 5053. The greatest factor of 5053 is 5053.
4. How to Find the LCM of 5049 and 5053?
Answer:
Least Common Multiple of 5049 and 5053 = 25512597
Step 1: Find the prime factorization of 5049
5049 = 3 x 3 x 3 x 11 x 17
Step 2: Find the prime factorization of 5053
5053 = 31 x 163
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 25512597 = 3 x 3 x 3 x 11 x 17 x 31 x 163
Step 4: Therefore, the least common multiple of 5049 and 5053 is 25512597.