Least Common Multiple of 7659 and 7663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7659 and 7663 the smallest integer that is 58690917 that is divisible by both numbers.
Least Common Multiple (LCM) of 7659 and 7663 is 58690917.
LCM(7659,7663) = 58690917
LCM of 7659 and 7663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7659 and 7663 by Prime method
- Least Common Multiple of 7659 and 7663 with GCF Formula
LCM of 7659 and 7663 is 58690917
Least common multiple can be found by multiplying the highest exponent prime factors of 7659 and 7663. First we will calculate the prime factors of 7659 and 7663.
Prime Factorization of 7659
| 3 | 7659 |
| 3 | 2553 |
| 23 | 851 |
| 37 | 37 |
| 1 |
Prime factors of 7659 are 3, 23,37. Prime factorization of 7659 in exponential form is:
7659 = 32×231×371
Prime Factorization of 7663
| 79 | 7663 |
| 97 | 97 |
| 1 |
Prime factors of 7663 are 79,97. Prime factorization of 7663 in exponential form is:
7663 = 791×971
Now multiplying the highest exponent prime factors to calculate the LCM of 7659 and 7663.
LCM(7659,7663) = 32×231×371×791×971
LCM(7659,7663) = 58690917
Factors of 7659
List of positive integer factors of 7659 that divides 7659 without a remainder.
1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659
Factors of 7663
List of positive integer factors of 7663 that divides 7663 without a remainder.
1, 79, 97, 7663
Least Common Multiple of 7659 and 7663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7659 and 7663, than apply into the LCM equation.
GCF(7659,7663) = 1
LCM(7659,7663) = ( 7659 × 7663) / 1
LCM(7659,7663) = 58690917 / 1
LCM(7659,7663) = 58690917
Properties of LCM 7659 and 7663
(i) The LCM of 7663 and 7659 is associative
LCM of 7659 and 7663 = LCM of 7663 and 7659
Related Least Common Multiples of 7659
Related Least Common Multiples of 7663
Frequently Asked Questions on LCM of 7659 and 7663
1. What is the LCM of 7659 and 7663?
Answer: LCM of 7659 and 7663 is 58690917.
2. What are the Factors of 7659?
Answer: Factors of 7659 are 1, 3, 9, 23, 37, 69, 111, 207, 333, 851, 2553, 7659. There are 12 integers that are factors of 7659. The greatest factor of 7659 is 7659.
3. What are the Factors of 7663?
Answer: Factors of 7663 are 1, 79, 97, 7663. There are 4 integers that are factors of 7663. The greatest factor of 7663 is 7663.
4. How to Find the LCM of 7659 and 7663?
Answer:
Least Common Multiple of 7659 and 7663 = 58690917
Step 1: Find the prime factorization of 7659
7659 = 3 x 3 x 23 x 37
Step 2: Find the prime factorization of 7663
7663 = 79 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58690917 = 3 x 3 x 23 x 37 x 79 x 97
Step 4: Therefore, the least common multiple of 7659 and 7663 is 58690917.