Least Common Multiple of 656 and 663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 656 and 663 the smallest integer that is 434928 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 663 is 434928.

LCM(656,663) = 434928

LCM of 656 and 663

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

LCM of:
and

Least Common Multiple of 656 and 663

LCM of 656 and 663 is 434928

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 663. First we will calculate the prime factors of 656 and 663.

Prime Factorization of 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 663.

LCM(656,663) = 24×31×131×171×411
LCM(656,663) = 434928

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Least Common Multiple of 656 and 663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 656 and 663, than apply into the LCM equation.

GCF(656,663) = 1
LCM(656,663) = ( 656 × 663) / 1
LCM(656,663) = 434928 / 1
LCM(656,663) = 434928

Properties of LCM 656 and 663

(i) The LCM of 663 and 656 is associative

LCM of 656 and 663 = LCM of 663 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 663

Frequently Asked Questions on LCM of 656 and 663

1. What is the LCM of 656 and 663?

Answer: LCM of 656 and 663 is 434928.

2. What are the Factors of 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

3. 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.

4. How to Find the LCM of 656 and 663?

Answer:

Least Common Multiple of 656 and 663 = 434928

Step 1: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 663

663 = 3 x 13 x 17

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

LCM = 434928 = 2 x 2 x 2 x 2 x 3 x 13 x 17 x 41

Step 4: Therefore, the least common multiple of 656 and 663 is 434928.