Least Common Multiple of 655 and 656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 655 and 656 the smallest integer that is 429680 that is divisible by both numbers.

Least Common Multiple (LCM) of 655 and 656 is 429680.

LCM(655,656) = 429680

LCM of 655 and 656

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

LCM of:
and

Least Common Multiple of 655 and 656

LCM of 655 and 656 is 429680

Least common multiple can be found by multiplying the highest exponent prime factors of 655 and 656. First we will calculate the prime factors of 655 and 656.

Prime Factorization of 655


5 655
131 131
1

Prime factors of 655 are 5,131. Prime factorization of 655 in exponential form is:

655 = 51×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 655 and 656.

LCM(655,656) = 24×51×411×1311
LCM(655,656) = 429680

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1, 5, 131, 655

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

Least Common Multiple of 655 and 656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 655 and 656, than apply into the LCM equation.

GCF(655,656) = 1
LCM(655,656) = ( 655 × 656) / 1
LCM(655,656) = 429680 / 1
LCM(655,656) = 429680

Properties of LCM 655 and 656

(i) The LCM of 656 and 655 is associative

LCM of 655 and 656 = LCM of 656 and 655

Related Least Common Multiples of 655

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 655 and 656

1. What is the LCM of 655 and 656?

Answer: LCM of 655 and 656 is 429680.

2. What are the Factors of 655?

Answer: Factors of 655 are 1, 5, 131, 655. There are 4 integers that are factors of 655. The greatest factor of 655 is 655.

3. 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.

4. How to Find the LCM of 655 and 656?

Answer:

Least Common Multiple of 655 and 656 = 429680

Step 1: Find the prime factorization of 655

655 = 5 x 131

Step 2: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

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

LCM = 429680 = 2 x 2 x 2 x 2 x 5 x 41 x 131

Step 4: Therefore, the least common multiple of 655 and 656 is 429680.