Least Common Multiple of 122 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 122 and 128 the smallest integer that is 7808 that is divisible by both numbers.

Least Common Multiple (LCM) of 122 and 128 is 7808.

LCM(122,128) = 7808

LCM of 122 and 128

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

LCM of:
and

Least Common Multiple of 122 and 128

LCM of 122 and 128 is 7808

Least common multiple can be found by multiplying the highest exponent prime factors of 122 and 128. First we will calculate the prime factors of 122 and 128.

Prime Factorization of 122


2 122
61 61
1

Prime factors of 122 are 2,61. Prime factorization of 122 in exponential form is:

122 = 21×611

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 122 and 128.

LCM(122,128) = 27×611
LCM(122,128) = 7808

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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 122 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 122 and 128, than apply into the LCM equation.

GCF(122,128) = 2
LCM(122,128) = ( 122 × 128) / 2
LCM(122,128) = 15616 / 2
LCM(122,128) = 7808

Properties of LCM 122 and 128

(i) The LCM of 128 and 122 is associative

LCM of 122 and 128 = LCM of 128 and 122

Related Least Common Multiples of 122

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 122 and 128

1. What is the LCM of 122 and 128?

Answer: LCM of 122 and 128 is 7808.

2. What are the Factors of 122?

Answer: Factors of 122 are 1, 2, 61, 122. There are 4 integers that are factors of 122. The greatest factor of 122 is 122.

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 122 and 128?

Answer:

Least Common Multiple of 122 and 128 = 7808

Step 1: Find the prime factorization of 122

122 = 2 x 61

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 = 7808 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 61

Step 4: Therefore, the least common multiple of 122 and 128 is 7808.