Least Common Multiple of 128 and 130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 128 and 130 the smallest integer that is 8320 that is divisible by both numbers.

Least Common Multiple (LCM) of 128 and 130 is 8320.

LCM(128,130) = 8320

LCM of 128 and 130

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

LCM of:
and

Least Common Multiple of 128 and 130

LCM of 128 and 130 is 8320

Least common multiple can be found by multiplying the highest exponent prime factors of 128 and 130. First we will calculate the prime factors of 128 and 130.

Prime Factorization of 128


2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:

128 = 27

Prime Factorization of 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 128 and 130.

LCM(128,130) = 27×51×131
LCM(128,130) = 8320

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Least Common Multiple of 128 and 130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 128 and 130, than apply into the LCM equation.

GCF(128,130) = 2
LCM(128,130) = ( 128 × 130) / 2
LCM(128,130) = 16640 / 2
LCM(128,130) = 8320

Properties of LCM 128 and 130

(i) The LCM of 130 and 128 is associative

LCM of 128 and 130 = LCM of 130 and 128

Related Least Common Multiples of 128

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 128 and 130

1. What is the LCM of 128 and 130?

Answer: LCM of 128 and 130 is 8320.

2. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

3. What are the Factors of 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the LCM of 128 and 130?

Answer:

Least Common Multiple of 128 and 130 = 8320

Step 1: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

LCM = 8320 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13

Step 4: Therefore, the least common multiple of 128 and 130 is 8320.