Least Common Multiple of 7683 and 7687
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 7687 the smallest integer that is 59059221 that is divisible by both numbers.
Least Common Multiple (LCM) of 7683 and 7687 is 59059221.
LCM(7683,7687) = 59059221
LCM of 7683 and 7687
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7683 and 7687 by Prime method
- Least Common Multiple of 7683 and 7687 with GCF Formula
LCM of 7683 and 7687 is 59059221
Least common multiple can be found by multiplying the highest exponent prime factors of 7683 and 7687. First we will calculate the prime factors of 7683 and 7687.
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 7687
| 7687 | 7687 |
| 1 |
Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:
7687 = 76871
Now multiplying the highest exponent prime factors to calculate the LCM of 7683 and 7687.
LCM(7683,7687) = 31×131×1971×76871
LCM(7683,7687) = 59059221
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 7687
List of positive integer factors of 7687 that divides 7687 without a remainder.
1, 7687
Least Common Multiple of 7683 and 7687 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 7687, than apply into the LCM equation.
GCF(7683,7687) = 1
LCM(7683,7687) = ( 7683 × 7687) / 1
LCM(7683,7687) = 59059221 / 1
LCM(7683,7687) = 59059221
Properties of LCM 7683 and 7687
(i) The LCM of 7687 and 7683 is associative
LCM of 7683 and 7687 = LCM of 7687 and 7683
Related Least Common Multiples of 7683
Related Least Common Multiples of 7687
Frequently Asked Questions on LCM of 7683 and 7687
1. What is the LCM of 7683 and 7687?
Answer: LCM of 7683 and 7687 is 59059221.
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 7687?
Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.
4. How to Find the LCM of 7683 and 7687?
Answer:
Least Common Multiple of 7683 and 7687 = 59059221
Step 1: Find the prime factorization of 7683
7683 = 3 x 13 x 197
Step 2: Find the prime factorization of 7687
7687 = 7687
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 59059221 = 3 x 13 x 197 x 7687
Step 4: Therefore, the least common multiple of 7683 and 7687 is 59059221.