Least Common Multiple of 665 and 667
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 665 and 667 the smallest integer that is 443555 that is divisible by both numbers.
Least Common Multiple (LCM) of 665 and 667 is 443555.
LCM(665,667) = 443555
LCM of 665 and 667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 665 and 667 by Prime method
- Least Common Multiple of 665 and 667 with GCF Formula
LCM of 665 and 667 is 443555
Least common multiple can be found by multiplying the highest exponent prime factors of 665 and 667. First we will calculate the prime factors of 665 and 667.
Prime Factorization of 665
| 5 | 665 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:
665 = 51×71×191
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
Now multiplying the highest exponent prime factors to calculate the LCM of 665 and 667.
LCM(665,667) = 51×71×191×231×291
LCM(665,667) = 443555
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Least Common Multiple of 665 and 667 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 665 and 667, than apply into the LCM equation.
GCF(665,667) = 1
LCM(665,667) = ( 665 × 667) / 1
LCM(665,667) = 443555 / 1
LCM(665,667) = 443555
Properties of LCM 665 and 667
(i) The LCM of 667 and 665 is associative
LCM of 665 and 667 = LCM of 667 and 665
Related Least Common Multiples of 665
Related Least Common Multiples of 667
Frequently Asked Questions on LCM of 665 and 667
1. What is the LCM of 665 and 667?
Answer: LCM of 665 and 667 is 443555.
2. What are the Factors of 665?
Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.
3. 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.
4. How to Find the LCM of 665 and 667?
Answer:
Least Common Multiple of 665 and 667 = 443555
Step 1: Find the prime factorization of 665
665 = 5 x 7 x 19
Step 2: Find the prime factorization of 667
667 = 23 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 443555 = 5 x 7 x 19 x 23 x 29
Step 4: Therefore, the least common multiple of 665 and 667 is 443555.