Least Common Multiple of 7679 and 7686
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7679 and 7686 the smallest integer that is 8431542 that is divisible by both numbers.
Least Common Multiple (LCM) of 7679 and 7686 is 8431542.
LCM(7679,7686) = 8431542
LCM of 7679 and 7686
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7679 and 7686 by Prime method
- Least Common Multiple of 7679 and 7686 with GCF Formula
LCM of 7679 and 7686 is 8431542
Least common multiple can be found by multiplying the highest exponent prime factors of 7679 and 7686. First we will calculate the prime factors of 7679 and 7686.
Prime Factorization of 7679
| 7 | 7679 |
| 1097 | 1097 |
| 1 |
Prime factors of 7679 are 7,1097. Prime factorization of 7679 in exponential form is:
7679 = 71×10971
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7679 and 7686.
LCM(7679,7686) = 21×32×71×611×10971
LCM(7679,7686) = 8431542
Factors of 7679
List of positive integer factors of 7679 that divides 7679 without a remainder.
1, 7, 1097, 7679
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
Least Common Multiple of 7679 and 7686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7679 and 7686, than apply into the LCM equation.
GCF(7679,7686) = 7
LCM(7679,7686) = ( 7679 × 7686) / 7
LCM(7679,7686) = 59020794 / 7
LCM(7679,7686) = 8431542
Properties of LCM 7679 and 7686
(i) The LCM of 7686 and 7679 is associative
LCM of 7679 and 7686 = LCM of 7686 and 7679
Related Least Common Multiples of 7679
Related Least Common Multiples of 7686
Frequently Asked Questions on LCM of 7679 and 7686
1. What is the LCM of 7679 and 7686?
Answer: LCM of 7679 and 7686 is 8431542.
2. What are the Factors of 7679?
Answer: Factors of 7679 are 1, 7, 1097, 7679. There are 4 integers that are factors of 7679. The greatest factor of 7679 is 7679.
3. 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.
4. How to Find the LCM of 7679 and 7686?
Answer:
Least Common Multiple of 7679 and 7686 = 8431542
Step 1: Find the prime factorization of 7679
7679 = 7 x 1097
Step 2: Find the prime factorization of 7686
7686 = 2 x 3 x 3 x 7 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8431542 = 2 x 3 x 3 x 7 x 61 x 1097
Step 4: Therefore, the least common multiple of 7679 and 7686 is 8431542.