Least Common Multiple of 3551 and 3558
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3551 and 3558 the smallest integer that is 12634458 that is divisible by both numbers.
Least Common Multiple (LCM) of 3551 and 3558 is 12634458.
LCM(3551,3558) = 12634458
LCM of 3551 and 3558
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3551 and 3558 by Prime method
- Least Common Multiple of 3551 and 3558 with GCF Formula
LCM of 3551 and 3558 is 12634458
Least common multiple can be found by multiplying the highest exponent prime factors of 3551 and 3558. First we will calculate the prime factors of 3551 and 3558.
Prime Factorization of 3551
| 53 | 3551 |
| 67 | 67 |
| 1 |
Prime factors of 3551 are 53,67. Prime factorization of 3551 in exponential form is:
3551 = 531×671
Prime Factorization of 3558
| 2 | 3558 |
| 3 | 1779 |
| 593 | 593 |
| 1 |
Prime factors of 3558 are 2, 3,593. Prime factorization of 3558 in exponential form is:
3558 = 21×31×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 3551 and 3558.
LCM(3551,3558) = 21×31×531×671×5931
LCM(3551,3558) = 12634458
Factors of 3551
List of positive integer factors of 3551 that divides 3551 without a remainder.
1, 53, 67, 3551
Factors of 3558
List of positive integer factors of 3558 that divides 3558 without a remainder.
1, 2, 3, 6, 593, 1186, 1779, 3558
Least Common Multiple of 3551 and 3558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3551 and 3558, than apply into the LCM equation.
GCF(3551,3558) = 1
LCM(3551,3558) = ( 3551 × 3558) / 1
LCM(3551,3558) = 12634458 / 1
LCM(3551,3558) = 12634458
Properties of LCM 3551 and 3558
(i) The LCM of 3558 and 3551 is associative
LCM of 3551 and 3558 = LCM of 3558 and 3551
Related Least Common Multiples of 3551
Related Least Common Multiples of 3558
Frequently Asked Questions on LCM of 3551 and 3558
1. What is the LCM of 3551 and 3558?
Answer: LCM of 3551 and 3558 is 12634458.
2. What are the Factors of 3551?
Answer: Factors of 3551 are 1, 53, 67, 3551. There are 4 integers that are factors of 3551. The greatest factor of 3551 is 3551.
3. What are the Factors of 3558?
Answer: Factors of 3558 are 1, 2, 3, 6, 593, 1186, 1779, 3558. There are 8 integers that are factors of 3558. The greatest factor of 3558 is 3558.
4. How to Find the LCM of 3551 and 3558?
Answer:
Least Common Multiple of 3551 and 3558 = 12634458
Step 1: Find the prime factorization of 3551
3551 = 53 x 67
Step 2: Find the prime factorization of 3558
3558 = 2 x 3 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12634458 = 2 x 3 x 53 x 67 x 593
Step 4: Therefore, the least common multiple of 3551 and 3558 is 12634458.