Least Common Multiple of 8128 and 8132

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 8132 the smallest integer that is 16524224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8128 and 8132 is 16524224.

LCM(8128,8132) = 16524224

LCM of 8128 and 8132

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

LCM of:
and

Least Common Multiple of 8128 and 8132

LCM of 8128 and 8132 is 16524224

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8132. First we will calculate the prime factors of 8128 and 8132.

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 8132


2 8132
2 4066
19 2033
107 107
1

Prime factors of 8132 are 2, 19,107. Prime factorization of 8132 in exponential form is:

8132 = 22×191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8132.

LCM(8128,8132) = 26×191×1071×1271
LCM(8128,8132) = 16524224

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 8132

List of positive integer factors of 8132 that divides 8132 without a remainder.

1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132

Least Common Multiple of 8128 and 8132 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 8132, than apply into the LCM equation.

GCF(8128,8132) = 4
LCM(8128,8132) = ( 8128 × 8132) / 4
LCM(8128,8132) = 66096896 / 4
LCM(8128,8132) = 16524224

Properties of LCM 8128 and 8132

(i) The LCM of 8132 and 8128 is associative

LCM of 8128 and 8132 = LCM of 8132 and 8128

Related Least Common Multiples of 8128

Related Least Common Multiples of 8132

Frequently Asked Questions on LCM of 8128 and 8132

1. What is the LCM of 8128 and 8132?

Answer: LCM of 8128 and 8132 is 16524224.

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 8132?

Answer: Factors of 8132 are 1, 2, 4, 19, 38, 76, 107, 214, 428, 2033, 4066, 8132. There are 12 integers that are factors of 8132. The greatest factor of 8132 is 8132.

4. How to Find the LCM of 8128 and 8132?

Answer:

Least Common Multiple of 8128 and 8132 = 16524224

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 8132

8132 = 2 x 2 x 19 x 107

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

LCM = 16524224 = 2 x 2 x 2 x 2 x 2 x 2 x 19 x 107 x 127

Step 4: Therefore, the least common multiple of 8128 and 8132 is 16524224.