Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6611 and 6616 the smallest integer that is 43738376 that is divisible by both numbers.
Least Common Multiple (LCM) of 6611 and 6616 is 43738376.
LCM(6611,6616) = 43738376
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 6611 and 6616. First we will calculate the prime factors of 6611 and 6616.
Prime Factorization of 6611
11 | 6611 |
601 | 601 |
1 |
Prime factors of 6611 are 11,601. Prime factorization of 6611 in exponential form is:
6611 = 111×6011
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 6611 and 6616.
LCM(6611,6616) = 23×111×6011×8271
LCM(6611,6616) = 43738376
Factors of 6611
List of positive integer factors of 6611 that divides 6611 without a remainder.
1, 11, 601, 6611
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 6611 and 6616, than apply into the LCM equation.
GCF(6611,6616) = 1
LCM(6611,6616) = ( 6611 × 6616) / 1
LCM(6611,6616) = 43738376 / 1
LCM(6611,6616) = 43738376
(i) The LCM of 6616 and 6611 is associative
LCM of 6611 and 6616 = LCM of 6616 and 6611
1. What is the LCM of 6611 and 6616?
Answer: LCM of 6611 and 6616 is 43738376.
2. What are the Factors of 6611?
Answer: Factors of 6611 are 1, 11, 601, 6611. There are 4 integers that are factors of 6611. The greatest factor of 6611 is 6611.
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 6611 and 6616?
Answer:
Least Common Multiple of 6611 and 6616 = 43738376
Step 1: Find the prime factorization of 6611
6611 = 11 x 601
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 = 43738376 = 2 x 2 x 2 x 11 x 601 x 827
Step 4: Therefore, the least common multiple of 6611 and 6616 is 43738376.