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 5664 the smallest integer that is 5341152 that is divisible by both numbers.
Least Common Multiple (LCM) of 5658 and 5664 is 5341152.
LCM(5658,5664) = 5341152
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 5664. First we will calculate the prime factors of 5658 and 5664.
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 5664
2 | 5664 |
2 | 2832 |
2 | 1416 |
2 | 708 |
2 | 354 |
3 | 177 |
59 | 59 |
1 |
Prime factors of 5664 are 2, 3,59. Prime factorization of 5664 in exponential form is:
5664 = 25×31×591
Now multiplying the highest exponent prime factors to calculate the LCM of 5658 and 5664.
LCM(5658,5664) = 25×31×231×411×591
LCM(5658,5664) = 5341152
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 5664
List of positive integer factors of 5664 that divides 5664 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5658 and 5664, than apply into the LCM equation.
GCF(5658,5664) = 6
LCM(5658,5664) = ( 5658 × 5664) / 6
LCM(5658,5664) = 32046912 / 6
LCM(5658,5664) = 5341152
(i) The LCM of 5664 and 5658 is associative
LCM of 5658 and 5664 = LCM of 5664 and 5658
1. What is the LCM of 5658 and 5664?
Answer: LCM of 5658 and 5664 is 5341152.
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 5664?
Answer: Factors of 5664 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 96, 118, 177, 236, 354, 472, 708, 944, 1416, 1888, 2832, 5664. There are 24 integers that are factors of 5664. The greatest factor of 5664 is 5664.
4. How to Find the LCM of 5658 and 5664?
Answer:
Least Common Multiple of 5658 and 5664 = 5341152
Step 1: Find the prime factorization of 5658
5658 = 2 x 3 x 23 x 41
Step 2: Find the prime factorization of 5664
5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5341152 = 2 x 2 x 2 x 2 x 2 x 3 x 23 x 41 x 59
Step 4: Therefore, the least common multiple of 5658 and 5664 is 5341152.