Least Common Multiple of 7665 and 7667
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7665 and 7667 the smallest integer that is 58767555 that is divisible by both numbers.
Least Common Multiple (LCM) of 7665 and 7667 is 58767555.
LCM(7665,7667) = 58767555
LCM of 7665 and 7667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7665 and 7667 by Prime method
- Least Common Multiple of 7665 and 7667 with GCF Formula
LCM of 7665 and 7667 is 58767555
Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7667. First we will calculate the prime factors of 7665 and 7667.
Prime Factorization of 7665
| 3 | 7665 |
| 5 | 2555 |
| 7 | 511 |
| 73 | 73 |
| 1 |
Prime factors of 7665 are 3, 5, 7,73. Prime factorization of 7665 in exponential form is:
7665 = 31×51×71×731
Prime Factorization of 7667
| 11 | 7667 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 7667 are 11, 17,41. Prime factorization of 7667 in exponential form is:
7667 = 111×171×411
Now multiplying the highest exponent prime factors to calculate the LCM of 7665 and 7667.
LCM(7665,7667) = 31×51×71×111×171×411×731
LCM(7665,7667) = 58767555
Factors of 7665
List of positive integer factors of 7665 that divides 7665 without a remainder.
1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665
Factors of 7667
List of positive integer factors of 7667 that divides 7667 without a remainder.
1, 11, 17, 41, 187, 451, 697, 7667
Least Common Multiple of 7665 and 7667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7665 and 7667, than apply into the LCM equation.
GCF(7665,7667) = 1
LCM(7665,7667) = ( 7665 × 7667) / 1
LCM(7665,7667) = 58767555 / 1
LCM(7665,7667) = 58767555
Properties of LCM 7665 and 7667
(i) The LCM of 7667 and 7665 is associative
LCM of 7665 and 7667 = LCM of 7667 and 7665
Related Least Common Multiples of 7665
Related Least Common Multiples of 7667
Frequently Asked Questions on LCM of 7665 and 7667
1. What is the LCM of 7665 and 7667?
Answer: LCM of 7665 and 7667 is 58767555.
2. What are the Factors of 7665?
Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.
3. What are the Factors of 7667?
Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.
4. How to Find the LCM of 7665 and 7667?
Answer:
Least Common Multiple of 7665 and 7667 = 58767555
Step 1: Find the prime factorization of 7665
7665 = 3 x 5 x 7 x 73
Step 2: Find the prime factorization of 7667
7667 = 11 x 17 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58767555 = 3 x 5 x 7 x 11 x 17 x 41 x 73
Step 4: Therefore, the least common multiple of 7665 and 7667 is 58767555.