Least Common Multiple of 8123 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 8123 and 8128 the smallest integer that is 66023744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8123 and 8128 is 66023744.

LCM(8123,8128) = 66023744

LCM of 8123 and 8128

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

LCM of:
and

Least Common Multiple of 8123 and 8128

LCM of 8123 and 8128 is 66023744

Least common multiple can be found by multiplying the highest exponent prime factors of 8123 and 8128. First we will calculate the prime factors of 8123 and 8128.

Prime Factorization of 8123


8123 8123
1

Prime factors of 8123 are 8123. Prime factorization of 8123 in exponential form is:

8123 = 81231

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 8123 and 8128.

LCM(8123,8128) = 26×1271×81231
LCM(8123,8128) = 66023744

Factors of 8123

List of positive integer factors of 8123 that divides 8123 without a remainder.

1, 8123

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 8123 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 8123 and 8128, than apply into the LCM equation.

GCF(8123,8128) = 1
LCM(8123,8128) = ( 8123 × 8128) / 1
LCM(8123,8128) = 66023744 / 1
LCM(8123,8128) = 66023744

Properties of LCM 8123 and 8128

(i) The LCM of 8128 and 8123 is associative

LCM of 8123 and 8128 = LCM of 8128 and 8123

Related Least Common Multiples of 8123

Related Least Common Multiples of 8128

Frequently Asked Questions on LCM of 8123 and 8128

1. What is the LCM of 8123 and 8128?

Answer: LCM of 8123 and 8128 is 66023744.

2. What are the Factors of 8123?

Answer: Factors of 8123 are 1, 8123. There are 2 integers that are factors of 8123. The greatest factor of 8123 is 8123.

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 8123 and 8128?

Answer:

Least Common Multiple of 8123 and 8128 = 66023744

Step 1: Find the prime factorization of 8123

8123 = 8123

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 = 66023744 = 2 x 2 x 2 x 2 x 2 x 2 x 127 x 8123

Step 4: Therefore, the least common multiple of 8123 and 8128 is 66023744.