Least Common Multiple of 667 and 675
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 667 and 675 the smallest integer that is 450225 that is divisible by both numbers.
Least Common Multiple (LCM) of 667 and 675 is 450225.
LCM(667,675) = 450225
LCM of 667 and 675
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 667 and 675 by Prime method
- Least Common Multiple of 667 and 675 with GCF Formula
LCM of 667 and 675 is 450225
Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 675. First we will calculate the prime factors of 667 and 675.
Prime Factorization of 667
| 23 | 667 |
| 29 | 29 |
| 1 |
Prime factors of 667 are 23,29. Prime factorization of 667 in exponential form is:
667 = 231×291
Prime Factorization of 675
| 3 | 675 |
| 3 | 225 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 675 are 3,5. Prime factorization of 675 in exponential form is:
675 = 33×52
Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 675.
LCM(667,675) = 33×52×231×291
LCM(667,675) = 450225
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Least Common Multiple of 667 and 675 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 667 and 675, than apply into the LCM equation.
GCF(667,675) = 1
LCM(667,675) = ( 667 × 675) / 1
LCM(667,675) = 450225 / 1
LCM(667,675) = 450225
Properties of LCM 667 and 675
(i) The LCM of 675 and 667 is associative
LCM of 667 and 675 = LCM of 675 and 667
Related Least Common Multiples of 667
Related Least Common Multiples of 675
Frequently Asked Questions on LCM of 667 and 675
1. What is the LCM of 667 and 675?
Answer: LCM of 667 and 675 is 450225.
2. What are the Factors of 667?
Answer: Factors of 667 are 1, 23, 29, 667. There are 4 integers that are factors of 667. The greatest factor of 667 is 667.
3. What are the Factors of 675?
Answer: Factors of 675 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675. There are 12 integers that are factors of 675. The greatest factor of 675 is 675.
4. How to Find the LCM of 667 and 675?
Answer:
Least Common Multiple of 667 and 675 = 450225
Step 1: Find the prime factorization of 667
667 = 23 x 29
Step 2: Find the prime factorization of 675
675 = 3 x 3 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 450225 = 3 x 3 x 3 x 5 x 5 x 23 x 29
Step 4: Therefore, the least common multiple of 667 and 675 is 450225.