Least Common Multiple of 7686 and 7693
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 7693 the smallest integer that is 8446914 that is divisible by both numbers.
Least Common Multiple (LCM) of 7686 and 7693 is 8446914.
LCM(7686,7693) = 8446914
LCM of 7686 and 7693
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7686 and 7693 by Prime method
- Least Common Multiple of 7686 and 7693 with GCF Formula
LCM of 7686 and 7693 is 8446914
Least common multiple can be found by multiplying the highest exponent prime factors of 7686 and 7693. First we will calculate the prime factors of 7686 and 7693.
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 7693
| 7 | 7693 |
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 7693 are 7,157. Prime factorization of 7693 in exponential form is:
7693 = 72×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 7686 and 7693.
LCM(7686,7693) = 21×32×72×611×1571
LCM(7686,7693) = 8446914
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 7693
List of positive integer factors of 7693 that divides 7693 without a remainder.
1, 7, 49, 157, 1099, 7693
Least Common Multiple of 7686 and 7693 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 7693, than apply into the LCM equation.
GCF(7686,7693) = 7
LCM(7686,7693) = ( 7686 × 7693) / 7
LCM(7686,7693) = 59128398 / 7
LCM(7686,7693) = 8446914
Properties of LCM 7686 and 7693
(i) The LCM of 7693 and 7686 is associative
LCM of 7686 and 7693 = LCM of 7693 and 7686
Related Least Common Multiples of 7686
Related Least Common Multiples of 7693
Frequently Asked Questions on LCM of 7686 and 7693
1. What is the LCM of 7686 and 7693?
Answer: LCM of 7686 and 7693 is 8446914.
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 7693?
Answer: Factors of 7693 are 1, 7, 49, 157, 1099, 7693. There are 6 integers that are factors of 7693. The greatest factor of 7693 is 7693.
4. How to Find the LCM of 7686 and 7693?
Answer:
Least Common Multiple of 7686 and 7693 = 8446914
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 7693
7693 = 7 x 7 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 8446914 = 2 x 3 x 3 x 7 x 7 x 61 x 157
Step 4: Therefore, the least common multiple of 7686 and 7693 is 8446914.