Least Common Multiple of 128 and 129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 128 and 129 the smallest integer that is 16512 that is divisible by both numbers.

Least Common Multiple (LCM) of 128 and 129 is 16512.

LCM(128,129) = 16512

LCM of 128 and 129

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

LCM of:
and

Least Common Multiple of 128 and 129

LCM of 128 and 129 is 16512

Least common multiple can be found by multiplying the highest exponent prime factors of 128 and 129. First we will calculate the prime factors of 128 and 129.

Prime Factorization of 128


2 128
2 64
2 32
2 16
2 8
2 4
2 2
1

Prime factors of 128 are 2. Prime factorization of 128 in exponential form is:

128 = 27

Prime Factorization of 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 128 and 129.

LCM(128,129) = 27×31×431
LCM(128,129) = 16512

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Least Common Multiple of 128 and 129 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 128 and 129, than apply into the LCM equation.

GCF(128,129) = 1
LCM(128,129) = ( 128 × 129) / 1
LCM(128,129) = 16512 / 1
LCM(128,129) = 16512

Properties of LCM 128 and 129

(i) The LCM of 129 and 128 is associative

LCM of 128 and 129 = LCM of 129 and 128

Related Least Common Multiples of 128

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 128 and 129

1. What is the LCM of 128 and 129?

Answer: LCM of 128 and 129 is 16512.

2. What are the Factors of 128?

Answer: Factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128. There are 8 integers that are factors of 128. The greatest factor of 128 is 128.

3. What are the Factors of 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

4. How to Find the LCM of 128 and 129?

Answer:

Least Common Multiple of 128 and 129 = 16512

Step 1: Find the prime factorization of 128

128 = 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 129

129 = 3 x 43

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

LCM = 16512 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 43

Step 4: Therefore, the least common multiple of 128 and 129 is 16512.