Least Common Multiple of 8120 and 8128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8120 and 8128 the smallest integer that is 8249920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8120 and 8128 is 8249920.

LCM(8120,8128) = 8249920

LCM of 8120 and 8128

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

LCM of:
and

Least Common Multiple of 8120 and 8128

LCM of 8120 and 8128 is 8249920

Least common multiple can be found by multiplying the highest exponent prime factors of 8120 and 8128. First we will calculate the prime factors of 8120 and 8128.

Prime Factorization of 8120


2 8120
2 4060
2 2030
5 1015
7 203
29 29
1

Prime factors of 8120 are 2, 5, 7,29. Prime factorization of 8120 in exponential form is:

8120 = 23×51×71×291

Prime Factorization of 8128


2 8128
2 4064
2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 8128 are 2,127. Prime factorization of 8128 in exponential form is:

8128 = 26×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 8120 and 8128.

LCM(8120,8128) = 26×51×71×291×1271
LCM(8120,8128) = 8249920

Factors of 8120

List of positive integer factors of 8120 that divides 8120 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120

Factors of 8128

List of positive integer factors of 8128 that divides 8128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128

Least Common Multiple of 8120 and 8128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8120 and 8128, than apply into the LCM equation.

GCF(8120,8128) = 8
LCM(8120,8128) = ( 8120 × 8128) / 8
LCM(8120,8128) = 65999360 / 8
LCM(8120,8128) = 8249920

Properties of LCM 8120 and 8128

(i) The LCM of 8128 and 8120 is associative

LCM of 8120 and 8128 = LCM of 8128 and 8120

Related Least Common Multiples of 8120

Related Least Common Multiples of 8128

Frequently Asked Questions on LCM of 8120 and 8128

1. What is the LCM of 8120 and 8128?

Answer: LCM of 8120 and 8128 is 8249920.

2. What are the Factors of 8120?

Answer: Factors of 8120 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 29, 35, 40, 56, 58, 70, 116, 140, 145, 203, 232, 280, 290, 406, 580, 812, 1015, 1160, 1624, 2030, 4060, 8120. There are 32 integers that are factors of 8120. The greatest factor of 8120 is 8120.

3. What are the Factors of 8128?

Answer: Factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128. There are 14 integers that are factors of 8128. The greatest factor of 8128 is 8128.

4. How to Find the LCM of 8120 and 8128?

Answer:

Least Common Multiple of 8120 and 8128 = 8249920

Step 1: Find the prime factorization of 8120

8120 = 2 x 2 x 2 x 5 x 7 x 29

Step 2: Find the prime factorization of 8128

8128 = 2 x 2 x 2 x 2 x 2 x 2 x 127

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

LCM = 8249920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 29 x 127

Step 4: Therefore, the least common multiple of 8120 and 8128 is 8249920.