Least Common Multiple of 2128 and 2136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2128 and 2136 the smallest integer that is 568176 that is divisible by both numbers.

Least Common Multiple (LCM) of 2128 and 2136 is 568176.

LCM(2128,2136) = 568176

LCM of 2128 and 2136

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

LCM of:
and

Least Common Multiple of 2128 and 2136

LCM of 2128 and 2136 is 568176

Least common multiple can be found by multiplying the highest exponent prime factors of 2128 and 2136. First we will calculate the prime factors of 2128 and 2136.

Prime Factorization of 2128


2 2128
2 1064
2 532
2 266
7 133
19 19
1

Prime factors of 2128 are 2, 7,19. Prime factorization of 2128 in exponential form is:

2128 = 24×71×191

Prime Factorization of 2136


2 2136
2 1068
2 534
3 267
89 89
1

Prime factors of 2136 are 2, 3,89. Prime factorization of 2136 in exponential form is:

2136 = 23×31×891

Now multiplying the highest exponent prime factors to calculate the LCM of 2128 and 2136.

LCM(2128,2136) = 24×31×71×191×891
LCM(2128,2136) = 568176

Factors of 2128

List of positive integer factors of 2128 that divides 2128 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128

Factors of 2136

List of positive integer factors of 2136 that divides 2136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136

Least Common Multiple of 2128 and 2136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2128 and 2136, than apply into the LCM equation.

GCF(2128,2136) = 8
LCM(2128,2136) = ( 2128 × 2136) / 8
LCM(2128,2136) = 4545408 / 8
LCM(2128,2136) = 568176

Properties of LCM 2128 and 2136

(i) The LCM of 2136 and 2128 is associative

LCM of 2128 and 2136 = LCM of 2136 and 2128

Related Least Common Multiples of 2128

Related Least Common Multiples of 2136

Frequently Asked Questions on LCM of 2128 and 2136

1. What is the LCM of 2128 and 2136?

Answer: LCM of 2128 and 2136 is 568176.

2. What are the Factors of 2128?

Answer: Factors of 2128 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 38, 56, 76, 112, 133, 152, 266, 304, 532, 1064, 2128. There are 20 integers that are factors of 2128. The greatest factor of 2128 is 2128.

3. What are the Factors of 2136?

Answer: Factors of 2136 are 1, 2, 3, 4, 6, 8, 12, 24, 89, 178, 267, 356, 534, 712, 1068, 2136. There are 16 integers that are factors of 2136. The greatest factor of 2136 is 2136.

4. How to Find the LCM of 2128 and 2136?

Answer:

Least Common Multiple of 2128 and 2136 = 568176

Step 1: Find the prime factorization of 2128

2128 = 2 x 2 x 2 x 2 x 7 x 19

Step 2: Find the prime factorization of 2136

2136 = 2 x 2 x 2 x 3 x 89

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

LCM = 568176 = 2 x 2 x 2 x 2 x 3 x 7 x 19 x 89

Step 4: Therefore, the least common multiple of 2128 and 2136 is 568176.