Least Common Multiple of 8128 and 8133

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 8133 the smallest integer that is 66105024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8128 and 8133 is 66105024.

LCM(8128,8133) = 66105024

LCM of 8128 and 8133

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

LCM of:
and

Least Common Multiple of 8128 and 8133

LCM of 8128 and 8133 is 66105024

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8133. First we will calculate the prime factors of 8128 and 8133.

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 8133


3 8133
2711 2711
1

Prime factors of 8133 are 3,2711. Prime factorization of 8133 in exponential form is:

8133 = 31×27111

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8133.

LCM(8128,8133) = 26×31×1271×27111
LCM(8128,8133) = 66105024

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 8133

List of positive integer factors of 8133 that divides 8133 without a remainder.

1, 3, 2711, 8133

Least Common Multiple of 8128 and 8133 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 8133, than apply into the LCM equation.

GCF(8128,8133) = 1
LCM(8128,8133) = ( 8128 × 8133) / 1
LCM(8128,8133) = 66105024 / 1
LCM(8128,8133) = 66105024

Properties of LCM 8128 and 8133

(i) The LCM of 8133 and 8128 is associative

LCM of 8128 and 8133 = LCM of 8133 and 8128

Related Least Common Multiples of 8128

Related Least Common Multiples of 8133

Frequently Asked Questions on LCM of 8128 and 8133

1. What is the LCM of 8128 and 8133?

Answer: LCM of 8128 and 8133 is 66105024.

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 8133?

Answer: Factors of 8133 are 1, 3, 2711, 8133. There are 4 integers that are factors of 8133. The greatest factor of 8133 is 8133.

4. How to Find the LCM of 8128 and 8133?

Answer:

Least Common Multiple of 8128 and 8133 = 66105024

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 8133

8133 = 3 x 2711

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

LCM = 66105024 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 127 x 2711

Step 4: Therefore, the least common multiple of 8128 and 8133 is 66105024.