Least Common Multiple of 7665 and 7669
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 7669 the smallest integer that is 58782885 that is divisible by both numbers.
Least Common Multiple (LCM) of 7665 and 7669 is 58782885.
LCM(7665,7669) = 58782885
LCM of 7665 and 7669
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7665 and 7669 by Prime method
- Least Common Multiple of 7665 and 7669 with GCF Formula
LCM of 7665 and 7669 is 58782885
Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7669. First we will calculate the prime factors of 7665 and 7669.
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 7669
| 7669 | 7669 |
| 1 |
Prime factors of 7669 are 7669. Prime factorization of 7669 in exponential form is:
7669 = 76691
Now multiplying the highest exponent prime factors to calculate the LCM of 7665 and 7669.
LCM(7665,7669) = 31×51×71×731×76691
LCM(7665,7669) = 58782885
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 7669
List of positive integer factors of 7669 that divides 7669 without a remainder.
1, 7669
Least Common Multiple of 7665 and 7669 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 7669, than apply into the LCM equation.
GCF(7665,7669) = 1
LCM(7665,7669) = ( 7665 × 7669) / 1
LCM(7665,7669) = 58782885 / 1
LCM(7665,7669) = 58782885
Properties of LCM 7665 and 7669
(i) The LCM of 7669 and 7665 is associative
LCM of 7665 and 7669 = LCM of 7669 and 7665
Related Least Common Multiples of 7665
Related Least Common Multiples of 7669
Frequently Asked Questions on LCM of 7665 and 7669
1. What is the LCM of 7665 and 7669?
Answer: LCM of 7665 and 7669 is 58782885.
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 7669?
Answer: Factors of 7669 are 1, 7669. There are 2 integers that are factors of 7669. The greatest factor of 7669 is 7669.
4. How to Find the LCM of 7665 and 7669?
Answer:
Least Common Multiple of 7665 and 7669 = 58782885
Step 1: Find the prime factorization of 7665
7665 = 3 x 5 x 7 x 73
Step 2: Find the prime factorization of 7669
7669 = 7669
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58782885 = 3 x 5 x 7 x 73 x 7669
Step 4: Therefore, the least common multiple of 7665 and 7669 is 58782885.