Least Common Multiple of 7683 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 7683 and 7691 the smallest integer that is 59089953 that is divisible by both numbers.
Least Common Multiple (LCM) of 7683 and 7691 is 59089953.
LCM(7683,7691) = 59089953
LCM of 7683 and 7691
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7683 and 7691 by Prime method
- Least Common Multiple of 7683 and 7691 with GCF Formula
LCM of 7683 and 7691 is 59089953
Least common multiple can be found by multiplying the highest exponent prime factors of 7683 and 7691. First we will calculate the prime factors of 7683 and 7691.
Prime Factorization of 7683
| 3 | 7683 |
| 13 | 2561 |
| 197 | 197 |
| 1 |
Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:
7683 = 31×131×1971
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 7683 and 7691.
LCM(7683,7691) = 31×131×1971×76911
LCM(7683,7691) = 59089953
Factors of 7683
List of positive integer factors of 7683 that divides 7683 without a remainder.
1, 3, 13, 39, 197, 591, 2561, 7683
Factors of 7691
List of positive integer factors of 7691 that divides 7691 without a remainder.
1, 7691
Least Common Multiple of 7683 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 7683 and 7691, than apply into the LCM equation.
GCF(7683,7691) = 1
LCM(7683,7691) = ( 7683 × 7691) / 1
LCM(7683,7691) = 59089953 / 1
LCM(7683,7691) = 59089953
Properties of LCM 7683 and 7691
(i) The LCM of 7691 and 7683 is associative
LCM of 7683 and 7691 = LCM of 7691 and 7683
Related Least Common Multiples of 7683
Related Least Common Multiples of 7691
Frequently Asked Questions on LCM of 7683 and 7691
1. What is the LCM of 7683 and 7691?
Answer: LCM of 7683 and 7691 is 59089953.
2. What are the Factors of 7683?
Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.
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 7683 and 7691?
Answer:
Least Common Multiple of 7683 and 7691 = 59089953
Step 1: Find the prime factorization of 7683
7683 = 3 x 13 x 197
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 = 59089953 = 3 x 13 x 197 x 7691
Step 4: Therefore, the least common multiple of 7683 and 7691 is 59089953.