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 665 the smallest integer that is 438235 that is divisible by both numbers.
Least Common Multiple (LCM) of 659 and 665 is 438235.
LCM(659,665) = 438235
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 659 and 665. First we will calculate the prime factors of 659 and 665.
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 665
5 | 665 |
7 | 133 |
19 | 19 |
1 |
Prime factors of 665 are 5, 7,19. Prime factorization of 665 in exponential form is:
665 = 51×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 659 and 665.
LCM(659,665) = 51×71×191×6591
LCM(659,665) = 438235
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1, 659
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 659 and 665, than apply into the LCM equation.
GCF(659,665) = 1
LCM(659,665) = ( 659 × 665) / 1
LCM(659,665) = 438235 / 1
LCM(659,665) = 438235
(i) The LCM of 665 and 659 is associative
LCM of 659 and 665 = LCM of 665 and 659
1. What is the LCM of 659 and 665?
Answer: LCM of 659 and 665 is 438235.
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 665?
Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.
4. How to Find the LCM of 659 and 665?
Answer:
Least Common Multiple of 659 and 665 = 438235
Step 1: Find the prime factorization of 659
659 = 659
Step 2: Find the prime factorization of 665
665 = 5 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 438235 = 5 x 7 x 19 x 659
Step 4: Therefore, the least common multiple of 659 and 665 is 438235.