Least Common Multiple of 656 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 656 and 664 the smallest integer that is 54448 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 664 is 54448.

LCM(656,664) = 54448

LCM of 656 and 664

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

LCM of:
and

Least Common Multiple of 656 and 664

LCM of 656 and 664 is 54448

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 664. First we will calculate the prime factors of 656 and 664.

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 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 656 and 664.

LCM(656,664) = 24×411×831
LCM(656,664) = 54448

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 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 656 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 656 and 664, than apply into the LCM equation.

GCF(656,664) = 8
LCM(656,664) = ( 656 × 664) / 8
LCM(656,664) = 435584 / 8
LCM(656,664) = 54448

Properties of LCM 656 and 664

(i) The LCM of 664 and 656 is associative

LCM of 656 and 664 = LCM of 664 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 664

Frequently Asked Questions on LCM of 656 and 664

1. What is the LCM of 656 and 664?

Answer: LCM of 656 and 664 is 54448.

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 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 656 and 664?

Answer:

Least Common Multiple of 656 and 664 = 54448

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 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 = 54448 = 2 x 2 x 2 x 2 x 41 x 83

Step 4: Therefore, the least common multiple of 656 and 664 is 54448.