Least Common Multiple of 5547 and 5551
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5547 and 5551 the smallest integer that is 30791397 that is divisible by both numbers.
Least Common Multiple (LCM) of 5547 and 5551 is 30791397.
LCM(5547,5551) = 30791397
LCM of 5547 and 5551
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5547 and 5551 by Prime method
- Least Common Multiple of 5547 and 5551 with GCF Formula
LCM of 5547 and 5551 is 30791397
Least common multiple can be found by multiplying the highest exponent prime factors of 5547 and 5551. First we will calculate the prime factors of 5547 and 5551.
Prime Factorization of 5547
| 3 | 5547 |
| 43 | 1849 |
| 43 | 43 |
| 1 |
Prime factors of 5547 are 3,43. Prime factorization of 5547 in exponential form is:
5547 = 31×432
Prime Factorization of 5551
| 7 | 5551 |
| 13 | 793 |
| 61 | 61 |
| 1 |
Prime factors of 5551 are 7, 13,61. Prime factorization of 5551 in exponential form is:
5551 = 71×131×611
Now multiplying the highest exponent prime factors to calculate the LCM of 5547 and 5551.
LCM(5547,5551) = 31×71×131×432×611
LCM(5547,5551) = 30791397
Factors of 5547
List of positive integer factors of 5547 that divides 5547 without a remainder.
1, 3, 43, 129, 1849, 5547
Factors of 5551
List of positive integer factors of 5551 that divides 5551 without a remainder.
1, 7, 13, 61, 91, 427, 793, 5551
Least Common Multiple of 5547 and 5551 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5547 and 5551, than apply into the LCM equation.
GCF(5547,5551) = 1
LCM(5547,5551) = ( 5547 × 5551) / 1
LCM(5547,5551) = 30791397 / 1
LCM(5547,5551) = 30791397
Properties of LCM 5547 and 5551
(i) The LCM of 5551 and 5547 is associative
LCM of 5547 and 5551 = LCM of 5551 and 5547
Related Least Common Multiples of 5547
Related Least Common Multiples of 5551
Frequently Asked Questions on LCM of 5547 and 5551
1. What is the LCM of 5547 and 5551?
Answer: LCM of 5547 and 5551 is 30791397.
2. What are the Factors of 5547?
Answer: Factors of 5547 are 1, 3, 43, 129, 1849, 5547. There are 6 integers that are factors of 5547. The greatest factor of 5547 is 5547.
3. What are the Factors of 5551?
Answer: Factors of 5551 are 1, 7, 13, 61, 91, 427, 793, 5551. There are 8 integers that are factors of 5551. The greatest factor of 5551 is 5551.
4. How to Find the LCM of 5547 and 5551?
Answer:
Least Common Multiple of 5547 and 5551 = 30791397
Step 1: Find the prime factorization of 5547
5547 = 3 x 43 x 43
Step 2: Find the prime factorization of 5551
5551 = 7 x 13 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30791397 = 3 x 7 x 13 x 43 x 43 x 61
Step 4: Therefore, the least common multiple of 5547 and 5551 is 30791397.