Least Common Multiple of 7661 and 7665
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7661 and 7665 the smallest integer that is 58721565 that is divisible by both numbers.
Least Common Multiple (LCM) of 7661 and 7665 is 58721565.
LCM(7661,7665) = 58721565
LCM of 7661 and 7665
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7661 and 7665 by Prime method
- Least Common Multiple of 7661 and 7665 with GCF Formula
LCM of 7661 and 7665 is 58721565
Least common multiple can be found by multiplying the highest exponent prime factors of 7661 and 7665. First we will calculate the prime factors of 7661 and 7665.
Prime Factorization of 7661
| 47 | 7661 |
| 163 | 163 |
| 1 |
Prime factors of 7661 are 47,163. Prime factorization of 7661 in exponential form is:
7661 = 471×1631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7661 and 7665.
LCM(7661,7665) = 31×51×71×471×731×1631
LCM(7661,7665) = 58721565
Factors of 7661
List of positive integer factors of 7661 that divides 7661 without a remainder.
1, 47, 163, 7661
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
Least Common Multiple of 7661 and 7665 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7661 and 7665, than apply into the LCM equation.
GCF(7661,7665) = 1
LCM(7661,7665) = ( 7661 × 7665) / 1
LCM(7661,7665) = 58721565 / 1
LCM(7661,7665) = 58721565
Properties of LCM 7661 and 7665
(i) The LCM of 7665 and 7661 is associative
LCM of 7661 and 7665 = LCM of 7665 and 7661
Related Least Common Multiples of 7661
Related Least Common Multiples of 7665
Frequently Asked Questions on LCM of 7661 and 7665
1. What is the LCM of 7661 and 7665?
Answer: LCM of 7661 and 7665 is 58721565.
2. What are the Factors of 7661?
Answer: Factors of 7661 are 1, 47, 163, 7661. There are 4 integers that are factors of 7661. The greatest factor of 7661 is 7661.
3. 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.
4. How to Find the LCM of 7661 and 7665?
Answer:
Least Common Multiple of 7661 and 7665 = 58721565
Step 1: Find the prime factorization of 7661
7661 = 47 x 163
Step 2: Find the prime factorization of 7665
7665 = 3 x 5 x 7 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58721565 = 3 x 5 x 7 x 47 x 73 x 163
Step 4: Therefore, the least common multiple of 7661 and 7665 is 58721565.