Least Common Multiple of 7685 and 7691
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 7691 the smallest integer that is 59105335 that is divisible by both numbers.
Least Common Multiple (LCM) of 7685 and 7691 is 59105335.
LCM(7685,7691) = 59105335
LCM of 7685 and 7691
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7685 and 7691 by Prime method
- Least Common Multiple of 7685 and 7691 with GCF Formula
LCM of 7685 and 7691 is 59105335
Least common multiple can be found by multiplying the highest exponent prime factors of 7685 and 7691. First we will calculate the prime factors of 7685 and 7691.
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 7691
| 7691 | 7691 |
| 1 |
Prime factors of 7691 are 7691. Prime factorization of 7691 in exponential form is:
7691 = 76911
Now multiplying the highest exponent prime factors to calculate the LCM of 7685 and 7691.
LCM(7685,7691) = 51×291×531×76911
LCM(7685,7691) = 59105335
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 7691
List of positive integer factors of 7691 that divides 7691 without a remainder.
1, 7691
Least Common Multiple of 7685 and 7691 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 7691, than apply into the LCM equation.
GCF(7685,7691) = 1
LCM(7685,7691) = ( 7685 × 7691) / 1
LCM(7685,7691) = 59105335 / 1
LCM(7685,7691) = 59105335
Properties of LCM 7685 and 7691
(i) The LCM of 7691 and 7685 is associative
LCM of 7685 and 7691 = LCM of 7691 and 7685
Related Least Common Multiples of 7685
Related Least Common Multiples of 7691
Frequently Asked Questions on LCM of 7685 and 7691
1. What is the LCM of 7685 and 7691?
Answer: LCM of 7685 and 7691 is 59105335.
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 7691?
Answer: Factors of 7691 are 1, 7691. There are 2 integers that are factors of 7691. The greatest factor of 7691 is 7691.
4. How to Find the LCM of 7685 and 7691?
Answer:
Least Common Multiple of 7685 and 7691 = 59105335
Step 1: Find the prime factorization of 7685
7685 = 5 x 29 x 53
Step 2: Find the prime factorization of 7691
7691 = 7691
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59105335 = 5 x 29 x 53 x 7691
Step 4: Therefore, the least common multiple of 7685 and 7691 is 59105335.