Least Common Multiple of 121 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 121 and 128 the smallest integer that is 15488 that is divisible by both numbers.

Least Common Multiple (LCM) of 121 and 128 is 15488.

LCM(121,128) = 15488

LCM of 121 and 128

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

LCM of:
and

Least Common Multiple of 121 and 128

LCM of 121 and 128 is 15488

Least common multiple can be found by multiplying the highest exponent prime factors of 121 and 128. First we will calculate the prime factors of 121 and 128.

Prime Factorization of 121


11 121
11 11
1

Prime factors of 121 are 11. Prime factorization of 121 in exponential form is:

121 = 112

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 121 and 128.

LCM(121,128) = 27×112
LCM(121,128) = 15488

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1, 11, 121

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 121 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 121 and 128, than apply into the LCM equation.

GCF(121,128) = 1
LCM(121,128) = ( 121 × 128) / 1
LCM(121,128) = 15488 / 1
LCM(121,128) = 15488

Properties of LCM 121 and 128

(i) The LCM of 128 and 121 is associative

LCM of 121 and 128 = LCM of 128 and 121

Related Least Common Multiples of 121

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 121 and 128

1. What is the LCM of 121 and 128?

Answer: LCM of 121 and 128 is 15488.

2. What are the Factors of 121?

Answer: Factors of 121 are 1, 11, 121. There are 3 integers that are factors of 121. The greatest factor of 121 is 121.

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 121 and 128?

Answer:

Least Common Multiple of 121 and 128 = 15488

Step 1: Find the prime factorization of 121

121 = 11 x 11

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 = 15488 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 11 x 11

Step 4: Therefore, the least common multiple of 121 and 128 is 15488.