Least Common Multiple of 656 and 658

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 658 the smallest integer that is 215824 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 658 is 215824.

LCM(656,658) = 215824

LCM of 656 and 658

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

LCM of:
and

Least Common Multiple of 656 and 658

LCM of 656 and 658 is 215824

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 658. First we will calculate the prime factors of 656 and 658.

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 658


2 658
7 329
47 47
1

Prime factors of 658 are 2, 7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 658.

LCM(656,658) = 24×71×411×471
LCM(656,658) = 215824

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 658

List of positive integer factors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Least Common Multiple of 656 and 658 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 658, than apply into the LCM equation.

GCF(656,658) = 2
LCM(656,658) = ( 656 × 658) / 2
LCM(656,658) = 431648 / 2
LCM(656,658) = 215824

Properties of LCM 656 and 658

(i) The LCM of 658 and 656 is associative

LCM of 656 and 658 = LCM of 658 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 658

Frequently Asked Questions on LCM of 656 and 658

1. What is the LCM of 656 and 658?

Answer: LCM of 656 and 658 is 215824.

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 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

4. How to Find the LCM of 656 and 658?

Answer:

Least Common Multiple of 656 and 658 = 215824

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 658

658 = 2 x 7 x 47

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

LCM = 215824 = 2 x 2 x 2 x 2 x 7 x 41 x 47

Step 4: Therefore, the least common multiple of 656 and 658 is 215824.