Least Common Multiple of 128 and 136

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 136 the smallest integer that is 2176 that is divisible by both numbers.

Least Common Multiple (LCM) of 128 and 136 is 2176.

LCM(128,136) = 2176

LCM of 128 and 136

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

LCM of:
and

Least Common Multiple of 128 and 136

LCM of 128 and 136 is 2176

Least common multiple can be found by multiplying the highest exponent prime factors of 128 and 136. First we will calculate the prime factors of 128 and 136.

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 136


2 136
2 68
2 34
17 17
1

Prime factors of 136 are 2,17. Prime factorization of 136 in exponential form is:

136 = 23×171

Now multiplying the highest exponent prime factors to calculate the LCM of 128 and 136.

LCM(128,136) = 27×171
LCM(128,136) = 2176

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 136

List of positive integer factors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Least Common Multiple of 128 and 136 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 136, than apply into the LCM equation.

GCF(128,136) = 8
LCM(128,136) = ( 128 × 136) / 8
LCM(128,136) = 17408 / 8
LCM(128,136) = 2176

Properties of LCM 128 and 136

(i) The LCM of 136 and 128 is associative

LCM of 128 and 136 = LCM of 136 and 128

Related Least Common Multiples of 128

Related Least Common Multiples of 136

Frequently Asked Questions on LCM of 128 and 136

1. What is the LCM of 128 and 136?

Answer: LCM of 128 and 136 is 2176.

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 136?

Answer: Factors of 136 are 1, 2, 4, 8, 17, 34, 68, 136. There are 8 integers that are factors of 136. The greatest factor of 136 is 136.

4. How to Find the LCM of 128 and 136?

Answer:

Least Common Multiple of 128 and 136 = 2176

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 136

136 = 2 x 2 x 2 x 17

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

LCM = 2176 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

Step 4: Therefore, the least common multiple of 128 and 136 is 2176.