Least Common Multiple of 7676 and 7681
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 7681 the smallest integer that is 58959356 that is divisible by both numbers.
Least Common Multiple (LCM) of 7676 and 7681 is 58959356.
LCM(7676,7681) = 58959356
LCM of 7676 and 7681
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7676 and 7681 by Prime method
- Least Common Multiple of 7676 and 7681 with GCF Formula
LCM of 7676 and 7681 is 58959356
Least common multiple can be found by multiplying the highest exponent prime factors of 7676 and 7681. First we will calculate the prime factors of 7676 and 7681.
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 7681
| 7681 | 7681 |
| 1 |
Prime factors of 7681 are 7681. Prime factorization of 7681 in exponential form is:
7681 = 76811
Now multiplying the highest exponent prime factors to calculate the LCM of 7676 and 7681.
LCM(7676,7681) = 22×191×1011×76811
LCM(7676,7681) = 58959356
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 7681
List of positive integer factors of 7681 that divides 7681 without a remainder.
1, 7681
Least Common Multiple of 7676 and 7681 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 7681, than apply into the LCM equation.
GCF(7676,7681) = 1
LCM(7676,7681) = ( 7676 × 7681) / 1
LCM(7676,7681) = 58959356 / 1
LCM(7676,7681) = 58959356
Properties of LCM 7676 and 7681
(i) The LCM of 7681 and 7676 is associative
LCM of 7676 and 7681 = LCM of 7681 and 7676
Related Least Common Multiples of 7676
Related Least Common Multiples of 7681
Frequently Asked Questions on LCM of 7676 and 7681
1. What is the LCM of 7676 and 7681?
Answer: LCM of 7676 and 7681 is 58959356.
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 7681?
Answer: Factors of 7681 are 1, 7681. There are 2 integers that are factors of 7681. The greatest factor of 7681 is 7681.
4. How to Find the LCM of 7676 and 7681?
Answer:
Least Common Multiple of 7676 and 7681 = 58959356
Step 1: Find the prime factorization of 7676
7676 = 2 x 2 x 19 x 101
Step 2: Find the prime factorization of 7681
7681 = 7681
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58959356 = 2 x 2 x 19 x 101 x 7681
Step 4: Therefore, the least common multiple of 7676 and 7681 is 58959356.