Least Common Multiple of 7676 and 7684
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7676 and 7684 the smallest integer that is 14745596 that is divisible by both numbers.
Least Common Multiple (LCM) of 7676 and 7684 is 14745596.
LCM(7676,7684) = 14745596
LCM of 7676 and 7684
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7676 and 7684 by Prime method
- Least Common Multiple of 7676 and 7684 with GCF Formula
LCM of 7676 and 7684 is 14745596
Least common multiple can be found by multiplying the highest exponent prime factors of 7676 and 7684. First we will calculate the prime factors of 7676 and 7684.
Prime Factorization of 7676
| 2 | 7676 |
| 2 | 3838 |
| 19 | 1919 |
| 101 | 101 |
| 1 |
Prime factors of 7676 are 2, 19,101. Prime factorization of 7676 in exponential form is:
7676 = 22×191×1011
Prime Factorization of 7684
| 2 | 7684 |
| 2 | 3842 |
| 17 | 1921 |
| 113 | 113 |
| 1 |
Prime factors of 7684 are 2, 17,113. Prime factorization of 7684 in exponential form is:
7684 = 22×171×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 7676 and 7684.
LCM(7676,7684) = 22×171×191×1011×1131
LCM(7676,7684) = 14745596
Factors of 7676
List of positive integer factors of 7676 that divides 7676 without a remainder.
1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676
Factors of 7684
List of positive integer factors of 7684 that divides 7684 without a remainder.
1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684
Least Common Multiple of 7676 and 7684 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7676 and 7684, than apply into the LCM equation.
GCF(7676,7684) = 4
LCM(7676,7684) = ( 7676 × 7684) / 4
LCM(7676,7684) = 58982384 / 4
LCM(7676,7684) = 14745596
Properties of LCM 7676 and 7684
(i) The LCM of 7684 and 7676 is associative
LCM of 7676 and 7684 = LCM of 7684 and 7676
Related Least Common Multiples of 7676
Related Least Common Multiples of 7684
Frequently Asked Questions on LCM of 7676 and 7684
1. What is the LCM of 7676 and 7684?
Answer: LCM of 7676 and 7684 is 14745596.
2. What are the Factors of 7676?
Answer: Factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676. There are 12 integers that are factors of 7676. The greatest factor of 7676 is 7676.
3. What are the Factors of 7684?
Answer: Factors of 7684 are 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684. There are 12 integers that are factors of 7684. The greatest factor of 7684 is 7684.
4. How to Find the LCM of 7676 and 7684?
Answer:
Least Common Multiple of 7676 and 7684 = 14745596
Step 1: Find the prime factorization of 7676
7676 = 2 x 2 x 19 x 101
Step 2: Find the prime factorization of 7684
7684 = 2 x 2 x 17 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 14745596 = 2 x 2 x 17 x 19 x 101 x 113
Step 4: Therefore, the least common multiple of 7676 and 7684 is 14745596.