Least Common Multiple of 7685 and 7693
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7685 and 7693 the smallest integer that is 59120705 that is divisible by both numbers.
Least Common Multiple (LCM) of 7685 and 7693 is 59120705.
LCM(7685,7693) = 59120705
LCM of 7685 and 7693
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7685 and 7693 by Prime method
- Least Common Multiple of 7685 and 7693 with GCF Formula
LCM of 7685 and 7693 is 59120705
Least common multiple can be found by multiplying the highest exponent prime factors of 7685 and 7693. First we will calculate the prime factors of 7685 and 7693.
Prime Factorization of 7685
| 5 | 7685 |
| 29 | 1537 |
| 53 | 53 |
| 1 |
Prime factors of 7685 are 5, 29,53. Prime factorization of 7685 in exponential form is:
7685 = 51×291×531
Prime Factorization of 7693
| 7 | 7693 |
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 7693 are 7,157. Prime factorization of 7693 in exponential form is:
7693 = 72×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 7685 and 7693.
LCM(7685,7693) = 51×72×291×531×1571
LCM(7685,7693) = 59120705
Factors of 7685
List of positive integer factors of 7685 that divides 7685 without a remainder.
1, 5, 29, 53, 145, 265, 1537, 7685
Factors of 7693
List of positive integer factors of 7693 that divides 7693 without a remainder.
1, 7, 49, 157, 1099, 7693
Least Common Multiple of 7685 and 7693 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7685 and 7693, than apply into the LCM equation.
GCF(7685,7693) = 1
LCM(7685,7693) = ( 7685 × 7693) / 1
LCM(7685,7693) = 59120705 / 1
LCM(7685,7693) = 59120705
Properties of LCM 7685 and 7693
(i) The LCM of 7693 and 7685 is associative
LCM of 7685 and 7693 = LCM of 7693 and 7685
Related Least Common Multiples of 7685
Related Least Common Multiples of 7693
Frequently Asked Questions on LCM of 7685 and 7693
1. What is the LCM of 7685 and 7693?
Answer: LCM of 7685 and 7693 is 59120705.
2. What are the Factors of 7685?
Answer: Factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685. There are 8 integers that are factors of 7685. The greatest factor of 7685 is 7685.
3. What are the Factors of 7693?
Answer: Factors of 7693 are 1, 7, 49, 157, 1099, 7693. There are 6 integers that are factors of 7693. The greatest factor of 7693 is 7693.
4. How to Find the LCM of 7685 and 7693?
Answer:
Least Common Multiple of 7685 and 7693 = 59120705
Step 1: Find the prime factorization of 7685
7685 = 5 x 29 x 53
Step 2: Find the prime factorization of 7693
7693 = 7 x 7 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59120705 = 5 x 7 x 7 x 29 x 53 x 157
Step 4: Therefore, the least common multiple of 7685 and 7693 is 59120705.