Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5664 and 5669 the smallest integer that is 32109216 that is divisible by both numbers.
Least Common Multiple (LCM) of 5664 and 5669 is 32109216.
LCM(5664,5669) = 32109216
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 5664 and 5669. First we will calculate the prime factors of 5664 and 5669.
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
Prime Factorization of 5669
5669 | 5669 |
1 |
Prime factors of 5669 are 5669. Prime factorization of 5669 in exponential form is:
5669 = 56691
Now multiplying the highest exponent prime factors to calculate the LCM of 5664 and 5669.
LCM(5664,5669) = 25×31×591×56691
LCM(5664,5669) = 32109216
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
Factors of 5669
List of positive integer factors of 5669 that divides 5669 without a remainder.
1, 5669
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5664 and 5669, than apply into the LCM equation.
GCF(5664,5669) = 1
LCM(5664,5669) = ( 5664 × 5669) / 1
LCM(5664,5669) = 32109216 / 1
LCM(5664,5669) = 32109216
(i) The LCM of 5669 and 5664 is associative
LCM of 5664 and 5669 = LCM of 5669 and 5664
1. What is the LCM of 5664 and 5669?
Answer: LCM of 5664 and 5669 is 32109216.
2. 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.
3. What are the Factors of 5669?
Answer: Factors of 5669 are 1, 5669. There are 2 integers that are factors of 5669. The greatest factor of 5669 is 5669.
4. How to Find the LCM of 5664 and 5669?
Answer:
Least Common Multiple of 5664 and 5669 = 32109216
Step 1: Find the prime factorization of 5664
5664 = 2 x 2 x 2 x 2 x 2 x 3 x 59
Step 2: Find the prime factorization of 5669
5669 = 5669
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32109216 = 2 x 2 x 2 x 2 x 2 x 3 x 59 x 5669
Step 4: Therefore, the least common multiple of 5664 and 5669 is 32109216.