Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6607 and 6611 the smallest integer that is 43678877 that is divisible by both numbers.
Least Common Multiple (LCM) of 6607 and 6611 is 43678877.
LCM(6607,6611) = 43678877
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 6607 and 6611. First we will calculate the prime factors of 6607 and 6611.
Prime Factorization of 6607
6607 | 6607 |
1 |
Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:
6607 = 66071
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6607 and 6611.
LCM(6607,6611) = 111×6011×66071
LCM(6607,6611) = 43678877
Factors of 6607
List of positive integer factors of 6607 that divides 6607 without a remainder.
1, 6607
Factors of 6611
List of positive integer factors of 6611 that divides 6611 without a remainder.
1, 11, 601, 6611
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6607 and 6611, than apply into the LCM equation.
GCF(6607,6611) = 1
LCM(6607,6611) = ( 6607 × 6611) / 1
LCM(6607,6611) = 43678877 / 1
LCM(6607,6611) = 43678877
(i) The LCM of 6611 and 6607 is associative
LCM of 6607 and 6611 = LCM of 6611 and 6607
1. What is the LCM of 6607 and 6611?
Answer: LCM of 6607 and 6611 is 43678877.
2. What are the Factors of 6607?
Answer: Factors of 6607 are 1, 6607. There are 2 integers that are factors of 6607. The greatest factor of 6607 is 6607.
3. 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.
4. How to Find the LCM of 6607 and 6611?
Answer:
Least Common Multiple of 6607 and 6611 = 43678877
Step 1: Find the prime factorization of 6607
6607 = 6607
Step 2: Find the prime factorization of 6611
6611 = 11 x 601
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 43678877 = 11 x 601 x 6607
Step 4: Therefore, the least common multiple of 6607 and 6611 is 43678877.