Least Common Multiple of 5537 and 5542
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5537 and 5542 the smallest integer that is 30686054 that is divisible by both numbers.
Least Common Multiple (LCM) of 5537 and 5542 is 30686054.
LCM(5537,5542) = 30686054
LCM of 5537 and 5542
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5537 and 5542 by Prime method
- Least Common Multiple of 5537 and 5542 with GCF Formula
LCM of 5537 and 5542 is 30686054
Least common multiple can be found by multiplying the highest exponent prime factors of 5537 and 5542. First we will calculate the prime factors of 5537 and 5542.
Prime Factorization of 5537
| 7 | 5537 |
| 7 | 791 |
| 113 | 113 |
| 1 |
Prime factors of 5537 are 7,113. Prime factorization of 5537 in exponential form is:
5537 = 72×1131
Prime Factorization of 5542
| 2 | 5542 |
| 17 | 2771 |
| 163 | 163 |
| 1 |
Prime factors of 5542 are 2, 17,163. Prime factorization of 5542 in exponential form is:
5542 = 21×171×1631
Now multiplying the highest exponent prime factors to calculate the LCM of 5537 and 5542.
LCM(5537,5542) = 21×72×171×1131×1631
LCM(5537,5542) = 30686054
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1, 7, 49, 113, 791, 5537
Factors of 5542
List of positive integer factors of 5542 that divides 5542 without a remainder.
1, 2, 17, 34, 163, 326, 2771, 5542
Least Common Multiple of 5537 and 5542 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5537 and 5542, than apply into the LCM equation.
GCF(5537,5542) = 1
LCM(5537,5542) = ( 5537 × 5542) / 1
LCM(5537,5542) = 30686054 / 1
LCM(5537,5542) = 30686054
Properties of LCM 5537 and 5542
(i) The LCM of 5542 and 5537 is associative
LCM of 5537 and 5542 = LCM of 5542 and 5537
Related Least Common Multiples of 5537
Related Least Common Multiples of 5542
Frequently Asked Questions on LCM of 5537 and 5542
1. What is the LCM of 5537 and 5542?
Answer: LCM of 5537 and 5542 is 30686054.
2. What are the Factors of 5537?
Answer: Factors of 5537 are 1, 7, 49, 113, 791, 5537. There are 6 integers that are factors of 5537. The greatest factor of 5537 is 5537.
3. What are the Factors of 5542?
Answer: Factors of 5542 are 1, 2, 17, 34, 163, 326, 2771, 5542. There are 8 integers that are factors of 5542. The greatest factor of 5542 is 5542.
4. How to Find the LCM of 5537 and 5542?
Answer:
Least Common Multiple of 5537 and 5542 = 30686054
Step 1: Find the prime factorization of 5537
5537 = 7 x 7 x 113
Step 2: Find the prime factorization of 5542
5542 = 2 x 17 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 = 30686054 = 2 x 7 x 7 x 17 x 113 x 163
Step 4: Therefore, the least common multiple of 5537 and 5542 is 30686054.