Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5551 and 5558 the smallest integer that is 4407494 that is divisible by both numbers.
Least Common Multiple (LCM) of 5551 and 5558 is 4407494.
LCM(5551,5558) = 4407494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5551 and 5558. First we will calculate the prime factors of 5551 and 5558.
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
Prime Factorization of 5558
2 | 5558 |
7 | 2779 |
397 | 397 |
1 |
Prime factors of 5558 are 2, 7,397. Prime factorization of 5558 in exponential form is:
5558 = 21×71×3971
Now multiplying the highest exponent prime factors to calculate the LCM of 5551 and 5558.
LCM(5551,5558) = 21×71×131×611×3971
LCM(5551,5558) = 4407494
Factors of 5551
List of positive integer factors of 5551 that divides 5551 without a remainder.
1, 7, 13, 61, 91, 427, 793, 5551
Factors of 5558
List of positive integer factors of 5558 that divides 5558 without a remainder.
1, 2, 7, 14, 397, 794, 2779, 5558
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5551 and 5558, than apply into the LCM equation.
GCF(5551,5558) = 7
LCM(5551,5558) = ( 5551 × 5558) / 7
LCM(5551,5558) = 30852458 / 7
LCM(5551,5558) = 4407494
(i) The LCM of 5558 and 5551 is associative
LCM of 5551 and 5558 = LCM of 5558 and 5551
1. What is the LCM of 5551 and 5558?
Answer: LCM of 5551 and 5558 is 4407494.
2. 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.
3. What are the Factors of 5558?
Answer: Factors of 5558 are 1, 2, 7, 14, 397, 794, 2779, 5558. There are 8 integers that are factors of 5558. The greatest factor of 5558 is 5558.
4. How to Find the LCM of 5551 and 5558?
Answer:
Least Common Multiple of 5551 and 5558 = 4407494
Step 1: Find the prime factorization of 5551
5551 = 7 x 13 x 61
Step 2: Find the prime factorization of 5558
5558 = 2 x 7 x 397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4407494 = 2 x 7 x 13 x 61 x 397
Step 4: Therefore, the least common multiple of 5551 and 5558 is 4407494.