Least Common Multiple of 8128 and 8136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8128 and 8136 the smallest integer that is 8266176 that is divisible by both numbers.

Least Common Multiple (LCM) of 8128 and 8136 is 8266176.

LCM(8128,8136) = 8266176

LCM of 8128 and 8136

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

LCM of:
and

Least Common Multiple of 8128 and 8136

LCM of 8128 and 8136 is 8266176

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8136. First we will calculate the prime factors of 8128 and 8136.

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

Prime Factorization of 8136


2 8136
2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 8136 are 2, 3,113. Prime factorization of 8136 in exponential form is:

8136 = 23×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8136.

LCM(8128,8136) = 26×32×1131×1271
LCM(8128,8136) = 8266176

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

Factors of 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136

Least Common Multiple of 8128 and 8136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8128 and 8136, than apply into the LCM equation.

GCF(8128,8136) = 8
LCM(8128,8136) = ( 8128 × 8136) / 8
LCM(8128,8136) = 66129408 / 8
LCM(8128,8136) = 8266176

Properties of LCM 8128 and 8136

(i) The LCM of 8136 and 8128 is associative

LCM of 8128 and 8136 = LCM of 8136 and 8128

Related Least Common Multiples of 8128

Related Least Common Multiples of 8136

Frequently Asked Questions on LCM of 8128 and 8136

1. What is the LCM of 8128 and 8136?

Answer: LCM of 8128 and 8136 is 8266176.

2. 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.

3. What are the Factors of 8136?

Answer: Factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136. There are 24 integers that are factors of 8136. The greatest factor of 8136 is 8136.

4. How to Find the LCM of 8128 and 8136?

Answer:

Least Common Multiple of 8128 and 8136 = 8266176

Step 1: Find the prime factorization of 8128

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

Step 2: Find the prime factorization of 8136

8136 = 2 x 2 x 2 x 3 x 3 x 113

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

LCM = 8266176 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 113 x 127

Step 4: Therefore, the least common multiple of 8128 and 8136 is 8266176.