Least Common Multiple of 116 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 116 and 128 the smallest integer that is 3712 that is divisible by both numbers.

Least Common Multiple (LCM) of 116 and 128 is 3712.

LCM(116,128) = 3712

LCM of 116 and 128

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

LCM of:
and

Least Common Multiple of 116 and 128

LCM of 116 and 128 is 3712

Least common multiple can be found by multiplying the highest exponent prime factors of 116 and 128. First we will calculate the prime factors of 116 and 128.

Prime Factorization of 116


2 116
2 58
29 29
1

Prime factors of 116 are 2,29. Prime factorization of 116 in exponential form is:

116 = 22×291

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 116 and 128.

LCM(116,128) = 27×291
LCM(116,128) = 3712

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

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 116 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 116 and 128, than apply into the LCM equation.

GCF(116,128) = 4
LCM(116,128) = ( 116 × 128) / 4
LCM(116,128) = 14848 / 4
LCM(116,128) = 3712

Properties of LCM 116 and 128

(i) The LCM of 128 and 116 is associative

LCM of 116 and 128 = LCM of 128 and 116

Related Least Common Multiples of 116

Related Least Common Multiples of 128

Frequently Asked Questions on LCM of 116 and 128

1. What is the LCM of 116 and 128?

Answer: LCM of 116 and 128 is 3712.

2. What are the Factors of 116?

Answer: Factors of 116 are 1, 2, 4, 29, 58, 116. There are 6 integers that are factors of 116. The greatest factor of 116 is 116.

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 116 and 128?

Answer:

Least Common Multiple of 116 and 128 = 3712

Step 1: Find the prime factorization of 116

116 = 2 x 2 x 29

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 = 3712 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 29

Step 4: Therefore, the least common multiple of 116 and 128 is 3712.