Least Common Multiple of 663 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 663 and 665 the smallest integer that is 440895 that is divisible by both numbers.

Least Common Multiple (LCM) of 663 and 665 is 440895.

LCM(663,665) = 440895

LCM of 663 and 665

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

LCM of:
and

Least Common Multiple of 663 and 665

LCM of 663 and 665 is 440895

Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 665. First we will calculate the prime factors of 663 and 665.

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 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 663 and 665.

LCM(663,665) = 31×51×71×131×171×191
LCM(663,665) = 440895

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 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 663 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 663 and 665, than apply into the LCM equation.

GCF(663,665) = 1
LCM(663,665) = ( 663 × 665) / 1
LCM(663,665) = 440895 / 1
LCM(663,665) = 440895

Properties of LCM 663 and 665

(i) The LCM of 665 and 663 is associative

LCM of 663 and 665 = LCM of 665 and 663

Related Least Common Multiples of 663

Related Least Common Multiples of 665

Frequently Asked Questions on LCM of 663 and 665

1. What is the LCM of 663 and 665?

Answer: LCM of 663 and 665 is 440895.

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 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 663 and 665?

Answer:

Least Common Multiple of 663 and 665 = 440895

Step 1: Find the prime factorization of 663

663 = 3 x 13 x 17

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 = 440895 = 3 x 5 x 7 x 13 x 17 x 19

Step 4: Therefore, the least common multiple of 663 and 665 is 440895.