Least Common Multiple of 7686 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 7686 and 7691 the smallest integer that is 59113026 that is divisible by both numbers.
Least Common Multiple (LCM) of 7686 and 7691 is 59113026.
LCM(7686,7691) = 59113026
LCM of 7686 and 7691
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7686 and 7691 by Prime method
- Least Common Multiple of 7686 and 7691 with GCF Formula
LCM of 7686 and 7691 is 59113026
Least common multiple can be found by multiplying the highest exponent prime factors of 7686 and 7691. First we will calculate the prime factors of 7686 and 7691.
Prime Factorization of 7686
| 2 | 7686 |
| 3 | 3843 |
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 7686 are 2, 3, 7,61. Prime factorization of 7686 in exponential form is:
7686 = 21×32×71×611
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 7686 and 7691.
LCM(7686,7691) = 21×32×71×611×76911
LCM(7686,7691) = 59113026
Factors of 7686
List of positive integer factors of 7686 that divides 7686 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686
Factors of 7691
List of positive integer factors of 7691 that divides 7691 without a remainder.
1, 7691
Least Common Multiple of 7686 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 7686 and 7691, than apply into the LCM equation.
GCF(7686,7691) = 1
LCM(7686,7691) = ( 7686 × 7691) / 1
LCM(7686,7691) = 59113026 / 1
LCM(7686,7691) = 59113026
Properties of LCM 7686 and 7691
(i) The LCM of 7691 and 7686 is associative
LCM of 7686 and 7691 = LCM of 7691 and 7686
Related Least Common Multiples of 7686
Related Least Common Multiples of 7691
Frequently Asked Questions on LCM of 7686 and 7691
1. What is the LCM of 7686 and 7691?
Answer: LCM of 7686 and 7691 is 59113026.
2. What are the Factors of 7686?
Answer: Factors of 7686 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 61, 63, 122, 126, 183, 366, 427, 549, 854, 1098, 1281, 2562, 3843, 7686. There are 24 integers that are factors of 7686. The greatest factor of 7686 is 7686.
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 7686 and 7691?
Answer:
Least Common Multiple of 7686 and 7691 = 59113026
Step 1: Find the prime factorization of 7686
7686 = 2 x 3 x 3 x 7 x 61
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 = 59113026 = 2 x 3 x 3 x 7 x 61 x 7691
Step 4: Therefore, the least common multiple of 7686 and 7691 is 59113026.