Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6608 and 6616 the smallest integer that is 5464816 that is divisible by both numbers.
Least Common Multiple (LCM) of 6608 and 6616 is 5464816.
LCM(6608,6616) = 5464816
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 6608 and 6616. First we will calculate the prime factors of 6608 and 6616.
Prime Factorization of 6608
2 | 6608 |
2 | 3304 |
2 | 1652 |
2 | 826 |
7 | 413 |
59 | 59 |
1 |
Prime factors of 6608 are 2, 7,59. Prime factorization of 6608 in exponential form is:
6608 = 24×71×591
Prime Factorization of 6616
2 | 6616 |
2 | 3308 |
2 | 1654 |
827 | 827 |
1 |
Prime factors of 6616 are 2,827. Prime factorization of 6616 in exponential form is:
6616 = 23×8271
Now multiplying the highest exponent prime factors to calculate the LCM of 6608 and 6616.
LCM(6608,6616) = 24×71×591×8271
LCM(6608,6616) = 5464816
Factors of 6608
List of positive integer factors of 6608 that divides 6608 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608
Factors of 6616
List of positive integer factors of 6616 that divides 6616 without a remainder.
1, 2, 4, 8, 827, 1654, 3308, 6616
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6608 and 6616, than apply into the LCM equation.
GCF(6608,6616) = 8
LCM(6608,6616) = ( 6608 × 6616) / 8
LCM(6608,6616) = 43718528 / 8
LCM(6608,6616) = 5464816
(i) The LCM of 6616 and 6608 is associative
LCM of 6608 and 6616 = LCM of 6616 and 6608
1. What is the LCM of 6608 and 6616?
Answer: LCM of 6608 and 6616 is 5464816.
2. What are the Factors of 6608?
Answer: Factors of 6608 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 59, 112, 118, 236, 413, 472, 826, 944, 1652, 3304, 6608. There are 20 integers that are factors of 6608. The greatest factor of 6608 is 6608.
3. What are the Factors of 6616?
Answer: Factors of 6616 are 1, 2, 4, 8, 827, 1654, 3308, 6616. There are 8 integers that are factors of 6616. The greatest factor of 6616 is 6616.
4. How to Find the LCM of 6608 and 6616?
Answer:
Least Common Multiple of 6608 and 6616 = 5464816
Step 1: Find the prime factorization of 6608
6608 = 2 x 2 x 2 x 2 x 7 x 59
Step 2: Find the prime factorization of 6616
6616 = 2 x 2 x 2 x 827
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5464816 = 2 x 2 x 2 x 2 x 7 x 59 x 827
Step 4: Therefore, the least common multiple of 6608 and 6616 is 5464816.