Least Common Multiple of 8128 and 8135

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 8135 the smallest integer that is 66121280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8128 and 8135 is 66121280.

LCM(8128,8135) = 66121280

LCM of 8128 and 8135

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

LCM of:
and

Least Common Multiple of 8128 and 8135

LCM of 8128 and 8135 is 66121280

Least common multiple can be found by multiplying the highest exponent prime factors of 8128 and 8135. First we will calculate the prime factors of 8128 and 8135.

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 8135


5 8135
1627 1627
1

Prime factors of 8135 are 5,1627. Prime factorization of 8135 in exponential form is:

8135 = 51×16271

Now multiplying the highest exponent prime factors to calculate the LCM of 8128 and 8135.

LCM(8128,8135) = 26×51×1271×16271
LCM(8128,8135) = 66121280

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 8135

List of positive integer factors of 8135 that divides 8135 without a remainder.

1, 5, 1627, 8135

Least Common Multiple of 8128 and 8135 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 8135, than apply into the LCM equation.

GCF(8128,8135) = 1
LCM(8128,8135) = ( 8128 × 8135) / 1
LCM(8128,8135) = 66121280 / 1
LCM(8128,8135) = 66121280

Properties of LCM 8128 and 8135

(i) The LCM of 8135 and 8128 is associative

LCM of 8128 and 8135 = LCM of 8135 and 8128

Related Least Common Multiples of 8128

Related Least Common Multiples of 8135

Frequently Asked Questions on LCM of 8128 and 8135

1. What is the LCM of 8128 and 8135?

Answer: LCM of 8128 and 8135 is 66121280.

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 8135?

Answer: Factors of 8135 are 1, 5, 1627, 8135. There are 4 integers that are factors of 8135. The greatest factor of 8135 is 8135.

4. How to Find the LCM of 8128 and 8135?

Answer:

Least Common Multiple of 8128 and 8135 = 66121280

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 8135

8135 = 5 x 1627

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

LCM = 66121280 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 127 x 1627

Step 4: Therefore, the least common multiple of 8128 and 8135 is 66121280.