Least Common Multiple of 5533 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 5533 and 5537 the smallest integer that is 30636221 that is divisible by both numbers.
Least Common Multiple (LCM) of 5533 and 5537 is 30636221.
LCM(5533,5537) = 30636221
LCM of 5533 and 5537
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5533 and 5537 by Prime method
- Least Common Multiple of 5533 and 5537 with GCF Formula
LCM of 5533 and 5537 is 30636221
Least common multiple can be found by multiplying the highest exponent prime factors of 5533 and 5537. First we will calculate the prime factors of 5533 and 5537.
Prime Factorization of 5533
| 11 | 5533 |
| 503 | 503 |
| 1 |
Prime factors of 5533 are 11,503. Prime factorization of 5533 in exponential form is:
5533 = 111×5031
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 5533 and 5537.
LCM(5533,5537) = 72×111×1131×5031
LCM(5533,5537) = 30636221
Factors of 5533
List of positive integer factors of 5533 that divides 5533 without a remainder.
1, 11, 503, 5533
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 5533 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 5533 and 5537, than apply into the LCM equation.
GCF(5533,5537) = 1
LCM(5533,5537) = ( 5533 × 5537) / 1
LCM(5533,5537) = 30636221 / 1
LCM(5533,5537) = 30636221
Properties of LCM 5533 and 5537
(i) The LCM of 5537 and 5533 is associative
LCM of 5533 and 5537 = LCM of 5537 and 5533
Related Least Common Multiples of 5533
Related Least Common Multiples of 5537
Frequently Asked Questions on LCM of 5533 and 5537
1. What is the LCM of 5533 and 5537?
Answer: LCM of 5533 and 5537 is 30636221.
2. What are the Factors of 5533?
Answer: Factors of 5533 are 1, 11, 503, 5533. There are 4 integers that are factors of 5533. The greatest factor of 5533 is 5533.
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 5533 and 5537?
Answer:
Least Common Multiple of 5533 and 5537 = 30636221
Step 1: Find the prime factorization of 5533
5533 = 11 x 503
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 = 30636221 = 7 x 7 x 11 x 113 x 503
Step 4: Therefore, the least common multiple of 5533 and 5537 is 30636221.