Least Common Multiple of 659 and 665

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

LCM of 659 and 665

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 659 and 665

LCM of 659 and 665 is 438235

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

Least Common Multiple of 659 and 665 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 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

Properties of LCM 659 and 665

(i) The LCM of 665 and 659 is associative

LCM of 659 and 665 = LCM of 665 and 659

Frequently Asked Questions on LCM of 659 and 665

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.