Least Common Multiple of 2128 and 2130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2128 and 2130 the smallest integer that is 2266320 that is divisible by both numbers.

Least Common Multiple (LCM) of 2128 and 2130 is 2266320.

LCM(2128,2130) = 2266320

LCM of 2128 and 2130

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

LCM of:
and

Least Common Multiple of 2128 and 2130

LCM of 2128 and 2130 is 2266320

Least common multiple can be found by multiplying the highest exponent prime factors of 2128 and 2130. First we will calculate the prime factors of 2128 and 2130.

Prime Factorization of 2128


2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 2128 are 2, 7,19. Prime factorization of 2128 in exponential form is:

2128 = 24×71×191

Prime Factorization of 2130


2 2130
3 1065
5 355
71 71
1

Prime factors of 2130 are 2, 3, 5,71. Prime factorization of 2130 in exponential form is:

2130 = 21×31×51×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2128 and 2130.

LCM(2128,2130) = 24×31×51×71×191×711
LCM(2128,2130) = 2266320

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128

Factors of 2130

List of positive integer factors of 2130 that divides 2130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130

Least Common Multiple of 2128 and 2130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2128 and 2130, than apply into the LCM equation.

GCF(2128,2130) = 2
LCM(2128,2130) = ( 2128 × 2130) / 2
LCM(2128,2130) = 4532640 / 2
LCM(2128,2130) = 2266320

Properties of LCM 2128 and 2130

(i) The LCM of 2130 and 2128 is associative

LCM of 2128 and 2130 = LCM of 2130 and 2128

Related Least Common Multiples of 2128

Related Least Common Multiples of 2130

Frequently Asked Questions on LCM of 2128 and 2130

1. What is the LCM of 2128 and 2130?

Answer: LCM of 2128 and 2130 is 2266320.

2. What are the Factors of 2128?

Answer: Factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128. There are 20 integers that are factors of 2128. The greatest factor of 2128 is 2128.

3. What are the Factors of 2130?

Answer: Factors of 2130 are 1, 2, 3, 5, 6, 10, 15, 30, 71, 142, 213, 355, 426, 710, 1065, 2130. There are 16 integers that are factors of 2130. The greatest factor of 2130 is 2130.

4. How to Find the LCM of 2128 and 2130?

Answer:

Least Common Multiple of 2128 and 2130 = 2266320

Step 1: Find the prime factorization of 2128

2128 = 2 x 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 2130

2130 = 2 x 3 x 5 x 71

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

LCM = 2266320 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 71

Step 4: Therefore, the least common multiple of 2128 and 2130 is 2266320.