Least Common Multiple of 656 and 660

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 660 the smallest integer that is 108240 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 660 is 108240.

LCM(656,660) = 108240

LCM of 656 and 660

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

LCM of:
and

Least Common Multiple of 656 and 660

LCM of 656 and 660 is 108240

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 660. First we will calculate the prime factors of 656 and 660.

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 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2, 3, 5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 660.

LCM(656,660) = 24×31×51×111×411
LCM(656,660) = 108240

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 660

List of positive integer factors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Least Common Multiple of 656 and 660 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 660, than apply into the LCM equation.

GCF(656,660) = 4
LCM(656,660) = ( 656 × 660) / 4
LCM(656,660) = 432960 / 4
LCM(656,660) = 108240

Properties of LCM 656 and 660

(i) The LCM of 660 and 656 is associative

LCM of 656 and 660 = LCM of 660 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 660

Frequently Asked Questions on LCM of 656 and 660

1. What is the LCM of 656 and 660?

Answer: LCM of 656 and 660 is 108240.

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 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the LCM of 656 and 660?

Answer:

Least Common Multiple of 656 and 660 = 108240

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 660

660 = 2 x 2 x 3 x 5 x 11

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

LCM = 108240 = 2 x 2 x 2 x 2 x 3 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 656 and 660 is 108240.