Least Common Multiple of 128 and 132

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 132 the smallest integer that is 4224 that is divisible by both numbers.

Least Common Multiple (LCM) of 128 and 132 is 4224.

LCM(128,132) = 4224

LCM of 128 and 132

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

LCM of:
and

Least Common Multiple of 128 and 132

LCM of 128 and 132 is 4224

Least common multiple can be found by multiplying the highest exponent prime factors of 128 and 132. First we will calculate the prime factors of 128 and 132.

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 132


2 132
2 66
3 33
11 11
1

Prime factors of 132 are 2, 3,11. Prime factorization of 132 in exponential form is:

132 = 22×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 128 and 132.

LCM(128,132) = 27×31×111
LCM(128,132) = 4224

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 132

List of positive integer factors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Least Common Multiple of 128 and 132 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 132, than apply into the LCM equation.

GCF(128,132) = 4
LCM(128,132) = ( 128 × 132) / 4
LCM(128,132) = 16896 / 4
LCM(128,132) = 4224

Properties of LCM 128 and 132

(i) The LCM of 132 and 128 is associative

LCM of 128 and 132 = LCM of 132 and 128

Related Least Common Multiples of 128

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 128 and 132

1. What is the LCM of 128 and 132?

Answer: LCM of 128 and 132 is 4224.

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 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

4. How to Find the LCM of 128 and 132?

Answer:

Least Common Multiple of 128 and 132 = 4224

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 132

132 = 2 x 2 x 3 x 11

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

LCM = 4224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11

Step 4: Therefore, the least common multiple of 128 and 132 is 4224.