Least Common Multiple of 5523 and 5530
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5523 and 5530 the smallest integer that is 4363170 that is divisible by both numbers.
Least Common Multiple (LCM) of 5523 and 5530 is 4363170.
LCM(5523,5530) = 4363170
LCM of 5523 and 5530
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5523 and 5530 by Prime method
- Least Common Multiple of 5523 and 5530 with GCF Formula
LCM of 5523 and 5530 is 4363170
Least common multiple can be found by multiplying the highest exponent prime factors of 5523 and 5530. First we will calculate the prime factors of 5523 and 5530.
Prime Factorization of 5523
| 3 | 5523 |
| 7 | 1841 |
| 263 | 263 |
| 1 |
Prime factors of 5523 are 3, 7,263. Prime factorization of 5523 in exponential form is:
5523 = 31×71×2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5523 and 5530.
LCM(5523,5530) = 21×31×51×71×791×2631
LCM(5523,5530) = 4363170
Factors of 5523
List of positive integer factors of 5523 that divides 5523 without a remainder.
1, 3, 7, 21, 263, 789, 1841, 5523
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
Least Common Multiple of 5523 and 5530 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5523 and 5530, than apply into the LCM equation.
GCF(5523,5530) = 7
LCM(5523,5530) = ( 5523 × 5530) / 7
LCM(5523,5530) = 30542190 / 7
LCM(5523,5530) = 4363170
Properties of LCM 5523 and 5530
(i) The LCM of 5530 and 5523 is associative
LCM of 5523 and 5530 = LCM of 5530 and 5523
Related Least Common Multiples of 5523
Related Least Common Multiples of 5530
Frequently Asked Questions on LCM of 5523 and 5530
1. What is the LCM of 5523 and 5530?
Answer: LCM of 5523 and 5530 is 4363170.
2. What are the Factors of 5523?
Answer: Factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523. There are 8 integers that are factors of 5523. The greatest factor of 5523 is 5523.
3. 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.
4. How to Find the LCM of 5523 and 5530?
Answer:
Least Common Multiple of 5523 and 5530 = 4363170
Step 1: Find the prime factorization of 5523
5523 = 3 x 7 x 263
Step 2: Find the prime factorization of 5530
5530 = 2 x 5 x 7 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4363170 = 2 x 3 x 5 x 7 x 79 x 263
Step 4: Therefore, the least common multiple of 5523 and 5530 is 4363170.