Least Common Multiple of 656 and 662

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 662 the smallest integer that is 217136 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 662 is 217136.

LCM(656,662) = 217136

LCM of 656 and 662

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

LCM of:
and

Least Common Multiple of 656 and 662

LCM of 656 and 662 is 217136

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 662. First we will calculate the prime factors of 656 and 662.

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 662


2 662
331 331
1

Prime factors of 662 are 2,331. Prime factorization of 662 in exponential form is:

662 = 21×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 662.

LCM(656,662) = 24×411×3311
LCM(656,662) = 217136

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 662

List of positive integer factors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Least Common Multiple of 656 and 662 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 662, than apply into the LCM equation.

GCF(656,662) = 2
LCM(656,662) = ( 656 × 662) / 2
LCM(656,662) = 434272 / 2
LCM(656,662) = 217136

Properties of LCM 656 and 662

(i) The LCM of 662 and 656 is associative

LCM of 656 and 662 = LCM of 662 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 662

Frequently Asked Questions on LCM of 656 and 662

1. What is the LCM of 656 and 662?

Answer: LCM of 656 and 662 is 217136.

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 662?

Answer: Factors of 662 are 1, 2, 331, 662. There are 4 integers that are factors of 662. The greatest factor of 662 is 662.

4. How to Find the LCM of 656 and 662?

Answer:

Least Common Multiple of 656 and 662 = 217136

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 662

662 = 2 x 331

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

LCM = 217136 = 2 x 2 x 2 x 2 x 41 x 331

Step 4: Therefore, the least common multiple of 656 and 662 is 217136.