Least Common Multiple of 656 and 659

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 659 the smallest integer that is 432304 that is divisible by both numbers.

Least Common Multiple (LCM) of 656 and 659 is 432304.

LCM(656,659) = 432304

LCM of 656 and 659

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

LCM of:
and

Least Common Multiple of 656 and 659

LCM of 656 and 659 is 432304

Least common multiple can be found by multiplying the highest exponent prime factors of 656 and 659. First we will calculate the prime factors of 656 and 659.

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 659


659 659
1

Prime factors of 659 are 659. Prime factorization of 659 in exponential form is:

659 = 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 656 and 659.

LCM(656,659) = 24×411×6591
LCM(656,659) = 432304

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 659

List of positive integer factors of 659 that divides 659 without a remainder.

1, 659

Least Common Multiple of 656 and 659 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 659, than apply into the LCM equation.

GCF(656,659) = 1
LCM(656,659) = ( 656 × 659) / 1
LCM(656,659) = 432304 / 1
LCM(656,659) = 432304

Properties of LCM 656 and 659

(i) The LCM of 659 and 656 is associative

LCM of 656 and 659 = LCM of 659 and 656

Related Least Common Multiples of 656

Related Least Common Multiples of 659

Frequently Asked Questions on LCM of 656 and 659

1. What is the LCM of 656 and 659?

Answer: LCM of 656 and 659 is 432304.

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 659?

Answer: Factors of 659 are 1, 659. There are 2 integers that are factors of 659. The greatest factor of 659 is 659.

4. How to Find the LCM of 656 and 659?

Answer:

Least Common Multiple of 656 and 659 = 432304

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 659

659 = 659

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

LCM = 432304 = 2 x 2 x 2 x 2 x 41 x 659

Step 4: Therefore, the least common multiple of 656 and 659 is 432304.