Least Common Multiple of 7697 and 7705
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7697 and 7705 the smallest integer that is 59305385 that is divisible by both numbers.
Least Common Multiple (LCM) of 7697 and 7705 is 59305385.
LCM(7697,7705) = 59305385
LCM of 7697 and 7705
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7697 and 7705 by Prime method
- Least Common Multiple of 7697 and 7705 with GCF Formula
LCM of 7697 and 7705 is 59305385
Least common multiple can be found by multiplying the highest exponent prime factors of 7697 and 7705. First we will calculate the prime factors of 7697 and 7705.
Prime Factorization of 7697
| 43 | 7697 |
| 179 | 179 |
| 1 |
Prime factors of 7697 are 43,179. Prime factorization of 7697 in exponential form is:
7697 = 431×1791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7697 and 7705.
LCM(7697,7705) = 51×231×431×671×1791
LCM(7697,7705) = 59305385
Factors of 7697
List of positive integer factors of 7697 that divides 7697 without a remainder.
1, 43, 179, 7697
Factors of 7705
List of positive integer factors of 7705 that divides 7705 without a remainder.
1, 5, 23, 67, 115, 335, 1541, 7705
Least Common Multiple of 7697 and 7705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7697 and 7705, than apply into the LCM equation.
GCF(7697,7705) = 1
LCM(7697,7705) = ( 7697 × 7705) / 1
LCM(7697,7705) = 59305385 / 1
LCM(7697,7705) = 59305385
Properties of LCM 7697 and 7705
(i) The LCM of 7705 and 7697 is associative
LCM of 7697 and 7705 = LCM of 7705 and 7697
Related Least Common Multiples of 7697
Related Least Common Multiples of 7705
Frequently Asked Questions on LCM of 7697 and 7705
1. What is the LCM of 7697 and 7705?
Answer: LCM of 7697 and 7705 is 59305385.
2. What are the Factors of 7697?
Answer: Factors of 7697 are 1, 43, 179, 7697. There are 4 integers that are factors of 7697. The greatest factor of 7697 is 7697.
3. 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.
4. How to Find the LCM of 7697 and 7705?
Answer:
Least Common Multiple of 7697 and 7705 = 59305385
Step 1: Find the prime factorization of 7697
7697 = 43 x 179
Step 2: Find the prime factorization of 7705
7705 = 5 x 23 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59305385 = 5 x 23 x 43 x 67 x 179
Step 4: Therefore, the least common multiple of 7697 and 7705 is 59305385.