Least Common Multiple of 7667 and 7675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7667 and 7675 the smallest integer that is 58844225 that is divisible by both numbers.
Least Common Multiple (LCM) of 7667 and 7675 is 58844225.
LCM(7667,7675) = 58844225
LCM of 7667 and 7675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7667 and 7675 by Prime method
- Least Common Multiple of 7667 and 7675 with GCF Formula
LCM of 7667 and 7675 is 58844225
Least common multiple can be found by multiplying the highest exponent prime factors of 7667 and 7675. First we will calculate the prime factors of 7667 and 7675.
Prime Factorization of 7667
| 11 | 7667 |
| 17 | 697 |
| 41 | 41 |
| 1 |
Prime factors of 7667 are 11, 17,41. Prime factorization of 7667 in exponential form is:
7667 = 111×171×411
Prime Factorization of 7675
| 5 | 7675 |
| 5 | 1535 |
| 307 | 307 |
| 1 |
Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:
7675 = 52×3071
Now multiplying the highest exponent prime factors to calculate the LCM of 7667 and 7675.
LCM(7667,7675) = 52×111×171×411×3071
LCM(7667,7675) = 58844225
Factors of 7667
List of positive integer factors of 7667 that divides 7667 without a remainder.
1, 11, 17, 41, 187, 451, 697, 7667
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1, 5, 25, 307, 1535, 7675
Least Common Multiple of 7667 and 7675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7667 and 7675, than apply into the LCM equation.
GCF(7667,7675) = 1
LCM(7667,7675) = ( 7667 × 7675) / 1
LCM(7667,7675) = 58844225 / 1
LCM(7667,7675) = 58844225
Properties of LCM 7667 and 7675
(i) The LCM of 7675 and 7667 is associative
LCM of 7667 and 7675 = LCM of 7675 and 7667
Related Least Common Multiples of 7667
Related Least Common Multiples of 7675
Frequently Asked Questions on LCM of 7667 and 7675
1. What is the LCM of 7667 and 7675?
Answer: LCM of 7667 and 7675 is 58844225.
2. What are the Factors of 7667?
Answer: Factors of 7667 are 1, 11, 17, 41, 187, 451, 697, 7667. There are 8 integers that are factors of 7667. The greatest factor of 7667 is 7667.
3. What are the Factors of 7675?
Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.
4. How to Find the LCM of 7667 and 7675?
Answer:
Least Common Multiple of 7667 and 7675 = 58844225
Step 1: Find the prime factorization of 7667
7667 = 11 x 17 x 41
Step 2: Find the prime factorization of 7675
7675 = 5 x 5 x 307
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 58844225 = 5 x 5 x 11 x 17 x 41 x 307
Step 4: Therefore, the least common multiple of 7667 and 7675 is 58844225.