Least Common Multiple of 8122 and 8128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8122 and 8128 the smallest integer that is 33007808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8122 and 8128 is 33007808.

LCM(8122,8128) = 33007808

LCM of 8122 and 8128

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

LCM of:
and

Least Common Multiple of 8122 and 8128

LCM of 8122 and 8128 is 33007808

Least common multiple can be found by multiplying the highest exponent prime factors of 8122 and 8128. First we will calculate the prime factors of 8122 and 8128.

Prime Factorization of 8122


2 8122
31 4061
131 131
1

Prime factors of 8122 are 2, 31,131. Prime factorization of 8122 in exponential form is:

8122 = 21×311×1311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8122 and 8128.

LCM(8122,8128) = 26×311×1271×1311
LCM(8122,8128) = 33007808

Factors of 8122

List of positive integer factors of 8122 that divides 8122 without a remainder.

1, 2, 31, 62, 131, 262, 4061, 8122

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

Least Common Multiple of 8122 and 8128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8122 and 8128, than apply into the LCM equation.

GCF(8122,8128) = 2
LCM(8122,8128) = ( 8122 × 8128) / 2
LCM(8122,8128) = 66015616 / 2
LCM(8122,8128) = 33007808

Properties of LCM 8122 and 8128

(i) The LCM of 8128 and 8122 is associative

LCM of 8122 and 8128 = LCM of 8128 and 8122

Related Least Common Multiples of 8122

Related Least Common Multiples of 8128

Frequently Asked Questions on LCM of 8122 and 8128

1. What is the LCM of 8122 and 8128?

Answer: LCM of 8122 and 8128 is 33007808.

2. What are the Factors of 8122?

Answer: Factors of 8122 are 1, 2, 31, 62, 131, 262, 4061, 8122. There are 8 integers that are factors of 8122. The greatest factor of 8122 is 8122.

3. 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.

4. How to Find the LCM of 8122 and 8128?

Answer:

Least Common Multiple of 8122 and 8128 = 33007808

Step 1: Find the prime factorization of 8122

8122 = 2 x 31 x 131

Step 2: Find the prime factorization of 8128

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

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

LCM = 33007808 = 2 x 2 x 2 x 2 x 2 x 2 x 31 x 127 x 131

Step 4: Therefore, the least common multiple of 8122 and 8128 is 33007808.