Least Common Multiple of 127 and 128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 127 and 128 the smallest integer that is 16256 that is divisible by both numbers.

Least Common Multiple (LCM) of 127 and 128 is 16256.

LCM(127,128) = 16256

LCM of 127 and 128

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

LCM of:
and

Least Common Multiple of 127 and 128

LCM of 127 and 128 is 16256

Least common multiple can be found by multiplying the highest exponent prime factors of 127 and 128. First we will calculate the prime factors of 127 and 128.

Prime Factorization of 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 127 and 128.

LCM(127,128) = 27×1271
LCM(127,128) = 16256

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

Factors of 128

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

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

Least Common Multiple of 127 and 128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 127 and 128, than apply into the LCM equation.

GCF(127,128) = 1
LCM(127,128) = ( 127 × 128) / 1
LCM(127,128) = 16256 / 1
LCM(127,128) = 16256

Properties of LCM 127 and 128

(i) The LCM of 128 and 127 is associative

LCM of 127 and 128 = LCM of 128 and 127

Related Least Common Multiples of 127

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 127 and 128

1. What is the LCM of 127 and 128?

Answer: LCM of 127 and 128 is 16256.

2. What are the Factors of 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

3. 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.

4. How to Find the LCM of 127 and 128?

Answer:

Least Common Multiple of 127 and 128 = 16256

Step 1: Find the prime factorization of 127

127 = 127

Step 2: Find the prime factorization of 128

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

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

LCM = 16256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 127

Step 4: Therefore, the least common multiple of 127 and 128 is 16256.