Least Common Multiple of 667 and 674
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 674 the smallest integer that is 449558 that is divisible by both numbers.
Least Common Multiple (LCM) of 667 and 674 is 449558.
LCM(667,674) = 449558
LCM of 667 and 674
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 667 and 674 by Prime method
- Least Common Multiple of 667 and 674 with GCF Formula
LCM of 667 and 674 is 449558
Least common multiple can be found by multiplying the highest exponent prime factors of 667 and 674. First we will calculate the prime factors of 667 and 674.
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 674
| 2 | 674 |
| 337 | 337 |
| 1 |
Prime factors of 674 are 2,337. Prime factorization of 674 in exponential form is:
674 = 21×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 667 and 674.
LCM(667,674) = 21×231×291×3371
LCM(667,674) = 449558
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Factors of 674
List of positive integer factors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Least Common Multiple of 667 and 674 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 674, than apply into the LCM equation.
GCF(667,674) = 1
LCM(667,674) = ( 667 × 674) / 1
LCM(667,674) = 449558 / 1
LCM(667,674) = 449558
Properties of LCM 667 and 674
(i) The LCM of 674 and 667 is associative
LCM of 667 and 674 = LCM of 674 and 667
Related Least Common Multiples of 667
Related Least Common Multiples of 674
Frequently Asked Questions on LCM of 667 and 674
1. What is the LCM of 667 and 674?
Answer: LCM of 667 and 674 is 449558.
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 674?
Answer: Factors of 674 are 1, 2, 337, 674. There are 4 integers that are factors of 674. The greatest factor of 674 is 674.
4. How to Find the LCM of 667 and 674?
Answer:
Least Common Multiple of 667 and 674 = 449558
Step 1: Find the prime factorization of 667
667 = 23 x 29
Step 2: Find the prime factorization of 674
674 = 2 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 449558 = 2 x 23 x 29 x 337
Step 4: Therefore, the least common multiple of 667 and 674 is 449558.