Least Common Multiple of 648 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 648 and 656 the smallest integer that is 53136 that is divisible by both numbers.

Least Common Multiple (LCM) of 648 and 656 is 53136.

LCM(648,656) = 53136

LCM of 648 and 656

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

LCM of:
and

Least Common Multiple of 648 and 656

LCM of 648 and 656 is 53136

Least common multiple can be found by multiplying the highest exponent prime factors of 648 and 656. First we will calculate the prime factors of 648 and 656.

Prime Factorization of 648


2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 648 are 2,3. Prime factorization of 648 in exponential form is:

648 = 23×34

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 648 and 656.

LCM(648,656) = 24×34×411
LCM(648,656) = 53136

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 648 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 648 and 656, than apply into the LCM equation.

GCF(648,656) = 8
LCM(648,656) = ( 648 × 656) / 8
LCM(648,656) = 425088 / 8
LCM(648,656) = 53136

Properties of LCM 648 and 656

(i) The LCM of 656 and 648 is associative

LCM of 648 and 656 = LCM of 656 and 648

Related Least Common Multiples of 648

Related Least Common Multiples of 656

Frequently Asked Questions on LCM of 648 and 656

1. What is the LCM of 648 and 656?

Answer: LCM of 648 and 656 is 53136.

2. What are the Factors of 648?

Answer: Factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648. There are 20 integers that are factors of 648. The greatest factor of 648 is 648.

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 648 and 656?

Answer:

Least Common Multiple of 648 and 656 = 53136

Step 1: Find the prime factorization of 648

648 = 2 x 2 x 2 x 3 x 3 x 3 x 3

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 = 53136 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 41

Step 4: Therefore, the least common multiple of 648 and 656 is 53136.