Least Common Multiple of 7671 and 7676
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7671 and 7676 the smallest integer that is 58882596 that is divisible by both numbers.
Least Common Multiple (LCM) of 7671 and 7676 is 58882596.
LCM(7671,7676) = 58882596
LCM of 7671 and 7676
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7671 and 7676 by Prime method
- Least Common Multiple of 7671 and 7676 with GCF Formula
LCM of 7671 and 7676 is 58882596
Least common multiple can be found by multiplying the highest exponent prime factors of 7671 and 7676. First we will calculate the prime factors of 7671 and 7676.
Prime Factorization of 7671
| 3 | 7671 |
| 2557 | 2557 |
| 1 |
Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:
7671 = 31×25571
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
Now multiplying the highest exponent prime factors to calculate the LCM of 7671 and 7676.
LCM(7671,7676) = 22×31×191×1011×25571
LCM(7671,7676) = 58882596
Factors of 7671
List of positive integer factors of 7671 that divides 7671 without a remainder.
1, 3, 2557, 7671
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
Least Common Multiple of 7671 and 7676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7671 and 7676, than apply into the LCM equation.
GCF(7671,7676) = 1
LCM(7671,7676) = ( 7671 × 7676) / 1
LCM(7671,7676) = 58882596 / 1
LCM(7671,7676) = 58882596
Properties of LCM 7671 and 7676
(i) The LCM of 7676 and 7671 is associative
LCM of 7671 and 7676 = LCM of 7676 and 7671
Related Least Common Multiples of 7671
Related Least Common Multiples of 7676
Frequently Asked Questions on LCM of 7671 and 7676
1. What is the LCM of 7671 and 7676?
Answer: LCM of 7671 and 7676 is 58882596.
2. What are the Factors of 7671?
Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.
3. 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.
4. How to Find the LCM of 7671 and 7676?
Answer:
Least Common Multiple of 7671 and 7676 = 58882596
Step 1: Find the prime factorization of 7671
7671 = 3 x 2557
Step 2: Find the prime factorization of 7676
7676 = 2 x 2 x 19 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58882596 = 2 x 2 x 3 x 19 x 101 x 2557
Step 4: Therefore, the least common multiple of 7671 and 7676 is 58882596.