Least Common Multiple of 7705 and 7709
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7705 and 7709 the smallest integer that is 59397845 that is divisible by both numbers.
Least Common Multiple (LCM) of 7705 and 7709 is 59397845.
LCM(7705,7709) = 59397845
LCM of 7705 and 7709
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7705 and 7709 by Prime method
- Least Common Multiple of 7705 and 7709 with GCF Formula
LCM of 7705 and 7709 is 59397845
Least common multiple can be found by multiplying the highest exponent prime factors of 7705 and 7709. First we will calculate the prime factors of 7705 and 7709.
Prime Factorization of 7705
| 5 | 7705 |
| 23 | 1541 |
| 67 | 67 |
| 1 |
Prime factors of 7705 are 5, 23,67. Prime factorization of 7705 in exponential form is:
7705 = 51×231×671
Prime Factorization of 7709
| 13 | 7709 |
| 593 | 593 |
| 1 |
Prime factors of 7709 are 13,593. Prime factorization of 7709 in exponential form is:
7709 = 131×5931
Now multiplying the highest exponent prime factors to calculate the LCM of 7705 and 7709.
LCM(7705,7709) = 51×131×231×671×5931
LCM(7705,7709) = 59397845
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1, 5, 23, 67, 115, 335, 1541, 7705
Factors of 7709
List of positive integer factors of 7709 that divides 7709 without a remainder.
1, 13, 593, 7709
Least Common Multiple of 7705 and 7709 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7705 and 7709, than apply into the LCM equation.
GCF(7705,7709) = 1
LCM(7705,7709) = ( 7705 × 7709) / 1
LCM(7705,7709) = 59397845 / 1
LCM(7705,7709) = 59397845
Properties of LCM 7705 and 7709
(i) The LCM of 7709 and 7705 is associative
LCM of 7705 and 7709 = LCM of 7709 and 7705
Related Least Common Multiples of 7705
Related Least Common Multiples of 7709
Frequently Asked Questions on LCM of 7705 and 7709
1. What is the LCM of 7705 and 7709?
Answer: LCM of 7705 and 7709 is 59397845.
2. What are the Factors of 7705?
Answer: Factors of 7705 are 1, 5, 23, 67, 115, 335, 1541, 7705. There are 8 integers that are factors of 7705. The greatest factor of 7705 is 7705.
3. What are the Factors of 7709?
Answer: Factors of 7709 are 1, 13, 593, 7709. There are 4 integers that are factors of 7709. The greatest factor of 7709 is 7709.
4. How to Find the LCM of 7705 and 7709?
Answer:
Least Common Multiple of 7705 and 7709 = 59397845
Step 1: Find the prime factorization of 7705
7705 = 5 x 23 x 67
Step 2: Find the prime factorization of 7709
7709 = 13 x 593
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59397845 = 5 x 13 x 23 x 67 x 593
Step 4: Therefore, the least common multiple of 7705 and 7709 is 59397845.