Least Common Multiple of 8128 and 8134

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 8134 the smallest integer that is 33056576 that is divisible by both numbers.

Least Common Multiple (LCM) of 8128 and 8134 is 33056576.

LCM(8128,8134) = 33056576

LCM of 8128 and 8134

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

LCM of:
and

Least Common Multiple of 8128 and 8134

LCM of 8128 and 8134 is 33056576

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8134. First we will calculate the prime factors of 8128 and 8134.

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 8134


2 8134
7 4067
7 581
83 83
1

Prime factors of 8134 are 2, 7,83. Prime factorization of 8134 in exponential form is:

8134 = 21×72×831

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8134.

LCM(8128,8134) = 26×72×831×1271
LCM(8128,8134) = 33056576

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 8134

List of positive integer factors of 8134 that divides 8134 without a remainder.

1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134

Least Common Multiple of 8128 and 8134 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 8134, than apply into the LCM equation.

GCF(8128,8134) = 2
LCM(8128,8134) = ( 8128 × 8134) / 2
LCM(8128,8134) = 66113152 / 2
LCM(8128,8134) = 33056576

Properties of LCM 8128 and 8134

(i) The LCM of 8134 and 8128 is associative

LCM of 8128 and 8134 = LCM of 8134 and 8128

Related Least Common Multiples of 8128

Related Least Common Multiples of 8134

Frequently Asked Questions on LCM of 8128 and 8134

1. What is the LCM of 8128 and 8134?

Answer: LCM of 8128 and 8134 is 33056576.

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 8134?

Answer: Factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134. There are 12 integers that are factors of 8134. The greatest factor of 8134 is 8134.

4. How to Find the LCM of 8128 and 8134?

Answer:

Least Common Multiple of 8128 and 8134 = 33056576

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 8134

8134 = 2 x 7 x 7 x 83

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

LCM = 33056576 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 83 x 127

Step 4: Therefore, the least common multiple of 8128 and 8134 is 33056576.