Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5612 and 5616 the smallest integer that is 7879248 that is divisible by both numbers.
Least Common Multiple (LCM) of 5612 and 5616 is 7879248.
LCM(5612,5616) = 7879248
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 5612 and 5616. First we will calculate the prime factors of 5612 and 5616.
Prime Factorization of 5612
2 | 5612 |
2 | 2806 |
23 | 1403 |
61 | 61 |
1 |
Prime factors of 5612 are 2, 23,61. Prime factorization of 5612 in exponential form is:
5612 = 22×231×611
Prime Factorization of 5616
2 | 5616 |
2 | 2808 |
2 | 1404 |
2 | 702 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 5616 are 2, 3,13. Prime factorization of 5616 in exponential form is:
5616 = 24×33×131
Now multiplying the highest exponent prime factors to calculate the LCM of 5612 and 5616.
LCM(5612,5616) = 24×33×131×231×611
LCM(5612,5616) = 7879248
Factors of 5612
List of positive integer factors of 5612 that divides 5612 without a remainder.
1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612
Factors of 5616
List of positive integer factors of 5616 that divides 5616 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5612 and 5616, than apply into the LCM equation.
GCF(5612,5616) = 4
LCM(5612,5616) = ( 5612 × 5616) / 4
LCM(5612,5616) = 31516992 / 4
LCM(5612,5616) = 7879248
(i) The LCM of 5616 and 5612 is associative
LCM of 5612 and 5616 = LCM of 5616 and 5612
1. What is the LCM of 5612 and 5616?
Answer: LCM of 5612 and 5616 is 7879248.
2. What are the Factors of 5612?
Answer: Factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612. There are 12 integers that are factors of 5612. The greatest factor of 5612 is 5612.
3. What are the Factors of 5616?
Answer: Factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616. There are 40 integers that are factors of 5616. The greatest factor of 5616 is 5616.
4. How to Find the LCM of 5612 and 5616?
Answer:
Least Common Multiple of 5612 and 5616 = 7879248
Step 1: Find the prime factorization of 5612
5612 = 2 x 2 x 23 x 61
Step 2: Find the prime factorization of 5616
5616 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7879248 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 13 x 23 x 61
Step 4: Therefore, the least common multiple of 5612 and 5616 is 7879248.