Least Common Multiple of 652 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 652 and 656 the smallest integer that is 106928 that is divisible by both numbers.

Least Common Multiple (LCM) of 652 and 656 is 106928.

LCM(652,656) = 106928

LCM of 652 and 656

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

LCM of:
and

Least Common Multiple of 652 and 656

LCM of 652 and 656 is 106928

Least common multiple can be found by multiplying the highest exponent prime factors of 652 and 656. First we will calculate the prime factors of 652 and 656.

Prime Factorization of 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

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 652 and 656.

LCM(652,656) = 24×411×1631
LCM(652,656) = 106928

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

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 652 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 652 and 656, than apply into the LCM equation.

GCF(652,656) = 4
LCM(652,656) = ( 652 × 656) / 4
LCM(652,656) = 427712 / 4
LCM(652,656) = 106928

Properties of LCM 652 and 656

(i) The LCM of 656 and 652 is associative

LCM of 652 and 656 = LCM of 656 and 652

Related Least Common Multiples of 652

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 652 and 656

1. What is the LCM of 652 and 656?

Answer: LCM of 652 and 656 is 106928.

2. What are the Factors of 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

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 652 and 656?

Answer:

Least Common Multiple of 652 and 656 = 106928

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

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 = 106928 = 2 x 2 x 2 x 2 x 41 x 163

Step 4: Therefore, the least common multiple of 652 and 656 is 106928.