Least Common Multiple of 667 and 669
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 669 the smallest integer that is 446223 that is divisible by both numbers.
Least Common Multiple (LCM) of 667 and 669 is 446223.
LCM(667,669) = 446223
LCM of 667 and 669
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 667 and 669 by Prime method
- Least Common Multiple of 667 and 669 with GCF Formula
LCM of 667 and 669 is 446223
Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 669. First we will calculate the prime factors of 667 and 669.
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 669
| 3 | 669 |
| 223 | 223 |
| 1 |
Prime factors of 669 are 3,223. Prime factorization of 669 in exponential form is:
669 = 31×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 669.
LCM(667,669) = 31×231×291×2231
LCM(667,669) = 446223
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1, 3, 223, 669
Least Common Multiple of 667 and 669 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 669, than apply into the LCM equation.
GCF(667,669) = 1
LCM(667,669) = ( 667 × 669) / 1
LCM(667,669) = 446223 / 1
LCM(667,669) = 446223
Properties of LCM 667 and 669
(i) The LCM of 669 and 667 is associative
LCM of 667 and 669 = LCM of 669 and 667
Related Least Common Multiples of 667
Related Least Common Multiples of 669
Frequently Asked Questions on LCM of 667 and 669
1. What is the LCM of 667 and 669?
Answer: LCM of 667 and 669 is 446223.
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 669?
Answer: Factors of 669 are 1, 3, 223, 669. There are 4 integers that are factors of 669. The greatest factor of 669 is 669.
4. How to Find the LCM of 667 and 669?
Answer:
Least Common Multiple of 667 and 669 = 446223
Step 1: Find the prime factorization of 667
667 = 23 x 29
Step 2: Find the prime factorization of 669
669 = 3 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 446223 = 3 x 23 x 29 x 223
Step 4: Therefore, the least common multiple of 667 and 669 is 446223.