Least Common Multiple of 5530 and 5537
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5530 and 5537 the smallest integer that is 4374230 that is divisible by both numbers.
Least Common Multiple (LCM) of 5530 and 5537 is 4374230.
LCM(5530,5537) = 4374230
LCM of 5530 and 5537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5530 and 5537 by Prime method
- Least Common Multiple of 5530 and 5537 with GCF Formula
LCM of 5530 and 5537 is 4374230
Least common multiple can be found by multiplying the highest exponent prime factors of 5530 and 5537. First we will calculate the prime factors of 5530 and 5537.
Prime Factorization of 5530
| 2 | 5530 |
| 5 | 2765 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 5530 are 2, 5, 7,79. Prime factorization of 5530 in exponential form is:
5530 = 21×51×71×791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5530 and 5537.
LCM(5530,5537) = 21×51×72×791×1131
LCM(5530,5537) = 4374230
Factors of 5530
List of positive integer factors of 5530 that divides 5530 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
Factors of 5537
List of positive integer factors of 5537 that divides 5537 without a remainder.
1, 7, 49, 113, 791, 5537
Least Common Multiple of 5530 and 5537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5530 and 5537, than apply into the LCM equation.
GCF(5530,5537) = 7
LCM(5530,5537) = ( 5530 × 5537) / 7
LCM(5530,5537) = 30619610 / 7
LCM(5530,5537) = 4374230
Properties of LCM 5530 and 5537
(i) The LCM of 5537 and 5530 is associative
LCM of 5530 and 5537 = LCM of 5537 and 5530
Related Least Common Multiples of 5530
Related Least Common Multiples of 5537
Frequently Asked Questions on LCM of 5530 and 5537
1. What is the LCM of 5530 and 5537?
Answer: LCM of 5530 and 5537 is 4374230.
2. What are the Factors of 5530?
Answer: Factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530. There are 16 integers that are factors of 5530. The greatest factor of 5530 is 5530.
3. 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.
4. How to Find the LCM of 5530 and 5537?
Answer:
Least Common Multiple of 5530 and 5537 = 4374230
Step 1: Find the prime factorization of 5530
5530 = 2 x 5 x 7 x 79
Step 2: Find the prime factorization of 5537
5537 = 7 x 7 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4374230 = 2 x 5 x 7 x 7 x 79 x 113
Step 4: Therefore, the least common multiple of 5530 and 5537 is 4374230.