Least Common Multiple of 659 and 663
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 659 and 663 the smallest integer that is 436917 that is divisible by both numbers.
Least Common Multiple (LCM) of 659 and 663 is 436917.
LCM(659,663) = 436917
LCM of 659 and 663
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 659 and 663 by Prime method
- Least Common Multiple of 659 and 663 with GCF Formula
LCM of 659 and 663 is 436917
Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 663. First we will calculate the prime factors of 659 and 663.
Prime Factorization of 659
| 659 | 659 |
| 1 |
Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:
659 = 6591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 659 and 663.
LCM(659,663) = 31×131×171×6591
LCM(659,663) = 436917
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1, 659
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Least Common Multiple of 659 and 663 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 659 and 663, than apply into the LCM equation.
GCF(659,663) = 1
LCM(659,663) = ( 659 × 663) / 1
LCM(659,663) = 436917 / 1
LCM(659,663) = 436917
Properties of LCM 659 and 663
(i) The LCM of 663 and 659 is associative
LCM of 659 and 663 = LCM of 663 and 659
Related Least Common Multiples of 659
Related Least Common Multiples of 663
Frequently Asked Questions on LCM of 659 and 663
1. What is the LCM of 659 and 663?
Answer: LCM of 659 and 663 is 436917.
2. What are the Factors of 659?
Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.
3. 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.
4. How to Find the LCM of 659 and 663?
Answer:
Least Common Multiple of 659 and 663 = 436917
Step 1: Find the prime factorization of 659
659 = 659
Step 2: Find the prime factorization of 663
663 = 3 x 13 x 17
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 436917 = 3 x 13 x 17 x 659
Step 4: Therefore, the least common multiple of 659 and 663 is 436917.