Least Common Multiple of 663 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 663 and 667 the smallest integer that is 442221 that is divisible by both numbers.
Least Common Multiple (LCM) of 663 and 667 is 442221.
LCM(663,667) = 442221
LCM of 663 and 667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 663 and 667 by Prime method
- Least Common Multiple of 663 and 667 with GCF Formula
LCM of 663 and 667 is 442221
Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 667. First we will calculate the prime factors of 663 and 667.
Prime Factorization of 663
| 3 | 663 |
| 13 | 221 |
| 17 | 17 |
| 1 |
Prime factors of 663 are 3, 13,17. Prime factorization of 663 in exponential form is:
663 = 31×131×171
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 663 and 667.
LCM(663,667) = 31×131×171×231×291
LCM(663,667) = 442221
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Factors of 667
List of positive integer factors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Least Common Multiple of 663 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 663 and 667, than apply into the LCM equation.
GCF(663,667) = 1
LCM(663,667) = ( 663 × 667) / 1
LCM(663,667) = 442221 / 1
LCM(663,667) = 442221
Properties of LCM 663 and 667
(i) The LCM of 667 and 663 is associative
LCM of 663 and 667 = LCM of 667 and 663
Related Least Common Multiples of 663
Related Least Common Multiples of 667
Frequently Asked Questions on LCM of 663 and 667
1. What is the LCM of 663 and 667?
Answer: LCM of 663 and 667 is 442221.
2. What are the Factors of 663?
Answer: Factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663. There are 8 integers that are factors of 663. The greatest factor of 663 is 663.
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 663 and 667?
Answer:
Least Common Multiple of 663 and 667 = 442221
Step 1: Find the prime factorization of 663
663 = 3 x 13 x 17
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 = 442221 = 3 x 13 x 17 x 23 x 29
Step 4: Therefore, the least common multiple of 663 and 667 is 442221.
