Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5571 and 5578 the smallest integer that is 31075038 that is divisible by both numbers.
Least Common Multiple (LCM) of 5571 and 5578 is 31075038.
LCM(5571,5578) = 31075038
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 5571 and 5578. First we will calculate the prime factors of 5571 and 5578.
Prime Factorization of 5571
3 | 5571 |
3 | 1857 |
619 | 619 |
1 |
Prime factors of 5571 are 3,619. Prime factorization of 5571 in exponential form is:
5571 = 32×6191
Prime Factorization of 5578
2 | 5578 |
2789 | 2789 |
1 |
Prime factors of 5578 are 2,2789. Prime factorization of 5578 in exponential form is:
5578 = 21×27891
Now multiplying the highest exponent prime factors to calculate the LCM of 5571 and 5578.
LCM(5571,5578) = 21×32×6191×27891
LCM(5571,5578) = 31075038
Factors of 5571
List of positive integer factors of 5571 that divides 5571 without a remainder.
1, 3, 9, 619, 1857, 5571
Factors of 5578
List of positive integer factors of 5578 that divides 5578 without a remainder.
1, 2, 2789, 5578
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5571 and 5578, than apply into the LCM equation.
GCF(5571,5578) = 1
LCM(5571,5578) = ( 5571 × 5578) / 1
LCM(5571,5578) = 31075038 / 1
LCM(5571,5578) = 31075038
(i) The LCM of 5578 and 5571 is associative
LCM of 5571 and 5578 = LCM of 5578 and 5571
1. What is the LCM of 5571 and 5578?
Answer: LCM of 5571 and 5578 is 31075038.
2. What are the Factors of 5571?
Answer: Factors of 5571 are 1, 3, 9, 619, 1857, 5571. There are 6 integers that are factors of 5571. The greatest factor of 5571 is 5571.
3. What are the Factors of 5578?
Answer: Factors of 5578 are 1, 2, 2789, 5578. There are 4 integers that are factors of 5578. The greatest factor of 5578 is 5578.
4. How to Find the LCM of 5571 and 5578?
Answer:
Least Common Multiple of 5571 and 5578 = 31075038
Step 1: Find the prime factorization of 5571
5571 = 3 x 3 x 619
Step 2: Find the prime factorization of 5578
5578 = 2 x 2789
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 31075038 = 2 x 3 x 3 x 619 x 2789
Step 4: Therefore, the least common multiple of 5571 and 5578 is 31075038.