Least Common Multiple of 128 and 131

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 131 the smallest integer that is 16768 that is divisible by both numbers.

Least Common Multiple (LCM) of 128 and 131 is 16768.

LCM(128,131) = 16768

LCM of 128 and 131

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

LCM of:
and

Least Common Multiple of 128 and 131

LCM of 128 and 131 is 16768

Least common multiple can be found by multiplying the highest exponent prime factors of 128 and 131. First we will calculate the prime factors of 128 and 131.

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 131


131 131
1

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 128 and 131.

LCM(128,131) = 27×1311
LCM(128,131) = 16768

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 131

List of positive integer factors of 131 that divides 131 without a remainder.

1, 131

Least Common Multiple of 128 and 131 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 131, than apply into the LCM equation.

GCF(128,131) = 1
LCM(128,131) = ( 128 × 131) / 1
LCM(128,131) = 16768 / 1
LCM(128,131) = 16768

Properties of LCM 128 and 131

(i) The LCM of 131 and 128 is associative

LCM of 128 and 131 = LCM of 131 and 128

Related Least Common Multiples of 128

Related Least Common Multiples of 131

Frequently Asked Questions on LCM of 128 and 131

1. What is the LCM of 128 and 131?

Answer: LCM of 128 and 131 is 16768.

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 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the LCM of 128 and 131?

Answer:

Least Common Multiple of 128 and 131 = 16768

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 131

131 = 131

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

LCM = 16768 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 131

Step 4: Therefore, the least common multiple of 128 and 131 is 16768.