Least Common Multiple of 663 and 666
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 666 the smallest integer that is 147186 that is divisible by both numbers.
Least Common Multiple (LCM) of 663 and 666 is 147186.
LCM(663,666) = 147186
LCM of 663 and 666
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 663 and 666 by Prime method
- Least Common Multiple of 663 and 666 with GCF Formula
LCM of 663 and 666 is 147186
Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 666. First we will calculate the prime factors of 663 and 666.
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 666
| 2 | 666 |
| 3 | 333 |
| 3 | 111 |
| 37 | 37 |
| 1 |
Prime factors of 666 are 2, 3,37. Prime factorization of 666 in exponential form is:
666 = 21×32×371
Now multiplying the highest exponent prime factors to calculate the LCM of 663 and 666.
LCM(663,666) = 21×32×131×171×371
LCM(663,666) = 147186
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 666
List of positive integer factors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Least Common Multiple of 663 and 666 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 666, than apply into the LCM equation.
GCF(663,666) = 3
LCM(663,666) = ( 663 × 666) / 3
LCM(663,666) = 441558 / 3
LCM(663,666) = 147186
Properties of LCM 663 and 666
(i) The LCM of 666 and 663 is associative
LCM of 663 and 666 = LCM of 666 and 663
Related Least Common Multiples of 663
Related Least Common Multiples of 666
Frequently Asked Questions on LCM of 663 and 666
1. What is the LCM of 663 and 666?
Answer: LCM of 663 and 666 is 147186.
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 666?
Answer: Factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666. There are 12 integers that are factors of 666. The greatest factor of 666 is 666.
4. How to Find the LCM of 663 and 666?
Answer:
Least Common Multiple of 663 and 666 = 147186
Step 1: Find the prime factorization of 663
663 = 3 x 13 x 17
Step 2: Find the prime factorization of 666
666 = 2 x 3 x 3 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 147186 = 2 x 3 x 3 x 13 x 17 x 37
Step 4: Therefore, the least common multiple of 663 and 666 is 147186.
