Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5658 and 5666 the smallest integer that is 16029114 that is divisible by both numbers.
Least Common Multiple (LCM) of 5658 and 5666 is 16029114.
LCM(5658,5666) = 16029114
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 5658 and 5666. First we will calculate the prime factors of 5658 and 5666.
Prime Factorization of 5658
2 | 5658 |
3 | 2829 |
23 | 943 |
41 | 41 |
1 |
Prime factors of 5658 are 2, 3, 23,41. Prime factorization of 5658 in exponential form is:
5658 = 21×31×231×411
Prime Factorization of 5666
2 | 5666 |
2833 | 2833 |
1 |
Prime factors of 5666 are 2,2833. Prime factorization of 5666 in exponential form is:
5666 = 21×28331
Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5666.
LCM(5658,5666) = 21×31×231×411×28331
LCM(5658,5666) = 16029114
Factors of 5658
List of positive integer factors of 5658 that divides 5658 without a remainder.
1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658
Factors of 5666
List of positive integer factors of 5666 that divides 5666 without a remainder.
1, 2, 2833, 5666
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5658 and 5666, than apply into the LCM equation.
GCF(5658,5666) = 2
LCM(5658,5666) = ( 5658 × 5666) / 2
LCM(5658,5666) = 32058228 / 2
LCM(5658,5666) = 16029114
(i) The LCM of 5666 and 5658 is associative
LCM of 5658 and 5666 = LCM of 5666 and 5658
1. What is the LCM of 5658 and 5666?
Answer: LCM of 5658 and 5666 is 16029114.
2. What are the Factors of 5658?
Answer: Factors of 5658 are 1, 2, 3, 6, 23, 41, 46, 69, 82, 123, 138, 246, 943, 1886, 2829, 5658. There are 16 integers that are factors of 5658. The greatest factor of 5658 is 5658.
3. What are the Factors of 5666?
Answer: Factors of 5666 are 1, 2, 2833, 5666. There are 4 integers that are factors of 5666. The greatest factor of 5666 is 5666.
4. How to Find the LCM of 5658 and 5666?
Answer:
Least Common Multiple of 5658 and 5666 = 16029114
Step 1: Find the prime factorization of 5658
5658 = 2 x 3 x 23 x 41
Step 2: Find the prime factorization of 5666
5666 = 2 x 2833
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16029114 = 2 x 3 x 23 x 41 x 2833
Step 4: Therefore, the least common multiple of 5658 and 5666 is 16029114.