Least Common Multiple of 667 and 671
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 671 the smallest integer that is 447557 that is divisible by both numbers.
Least Common Multiple (LCM) of 667 and 671 is 447557.
LCM(667,671) = 447557
LCM of 667 and 671
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 667 and 671 by Prime method
- Least Common Multiple of 667 and 671 with GCF Formula
LCM of 667 and 671 is 447557
Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 671. First we will calculate the prime factors of 667 and 671.
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 671
| 11 | 671 |
| 61 | 61 |
| 1 |
Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:
671 = 111×611
Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 671.
LCM(667,671) = 111×231×291×611
LCM(667,671) = 447557
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Least Common Multiple of 667 and 671 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 671, than apply into the LCM equation.
GCF(667,671) = 1
LCM(667,671) = ( 667 × 671) / 1
LCM(667,671) = 447557 / 1
LCM(667,671) = 447557
Properties of LCM 667 and 671
(i) The LCM of 671 and 667 is associative
LCM of 667 and 671 = LCM of 671 and 667
Related Least Common Multiples of 667
Related Least Common Multiples of 671
Frequently Asked Questions on LCM of 667 and 671
1. What is the LCM of 667 and 671?
Answer: LCM of 667 and 671 is 447557.
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 671?
Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.
4. How to Find the LCM of 667 and 671?
Answer:
Least Common Multiple of 667 and 671 = 447557
Step 1: Find the prime factorization of 667
667 = 23 x 29
Step 2: Find the prime factorization of 671
671 = 11 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 447557 = 11 x 23 x 29 x 61
Step 4: Therefore, the least common multiple of 667 and 671 is 447557.