Least Common Multiple of 663 and 664

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 664 the smallest integer that is 440232 that is divisible by both numbers.

Least Common Multiple (LCM) of 663 and 664 is 440232.

LCM(663,664) = 440232

LCM of 663 and 664

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

LCM of:
and

Least Common Multiple of 663 and 664

LCM of 663 and 664 is 440232

Least common multiple can be found by multiplying the highest exponent prime factors of 663 and 664. First we will calculate the prime factors of 663 and 664.

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 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

Now multiplying the highest exponent prime factors to calculate the LCM of 663 and 664.

LCM(663,664) = 23×31×131×171×831
LCM(663,664) = 440232

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 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Least Common Multiple of 663 and 664 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 664, than apply into the LCM equation.

GCF(663,664) = 1
LCM(663,664) = ( 663 × 664) / 1
LCM(663,664) = 440232 / 1
LCM(663,664) = 440232

Properties of LCM 663 and 664

(i) The LCM of 664 and 663 is associative

LCM of 663 and 664 = LCM of 664 and 663

Related Least Common Multiples of 663

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 663 and 664

1. What is the LCM of 663 and 664?

Answer: LCM of 663 and 664 is 440232.

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 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

4. How to Find the LCM of 663 and 664?

Answer:

Least Common Multiple of 663 and 664 = 440232

Step 1: Find the prime factorization of 663

663 = 3 x 13 x 17

Step 2: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 440232 = 2 x 2 x 2 x 3 x 13 x 17 x 83

Step 4: Therefore, the least common multiple of 663 and 664 is 440232.