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;

LCM of:
and

Least Common Multiple of 663 and 666

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.