Least Common Multiple of 2128 and 2135

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 2135 the smallest integer that is 649040 that is divisible by both numbers.

Least Common Multiple (LCM) of 2128 and 2135 is 649040.

LCM(2128,2135) = 649040

LCM of 2128 and 2135

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

LCM of:
and

Least Common Multiple of 2128 and 2135

LCM of 2128 and 2135 is 649040

Least common multiple can be found by multiplying the highest exponent prime factors of 2128 and 2135. First we will calculate the prime factors of 2128 and 2135.

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 2135


5 2135
7 427
61 61
1

Prime factors of 2135 are 5, 7,61. Prime factorization of 2135 in exponential form is:

2135 = 51×71×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2128 and 2135.

LCM(2128,2135) = 24×51×71×191×611
LCM(2128,2135) = 649040

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 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1, 5, 7, 35, 61, 305, 427, 2135

Least Common Multiple of 2128 and 2135 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 2135, than apply into the LCM equation.

GCF(2128,2135) = 7
LCM(2128,2135) = ( 2128 × 2135) / 7
LCM(2128,2135) = 4543280 / 7
LCM(2128,2135) = 649040

Properties of LCM 2128 and 2135

(i) The LCM of 2135 and 2128 is associative

LCM of 2128 and 2135 = LCM of 2135 and 2128

Related Least Common Multiples of 2128

Related Least Common Multiples of 2135

Frequently Asked Questions on LCM of 2128 and 2135

1. What is the LCM of 2128 and 2135?

Answer: LCM of 2128 and 2135 is 649040.

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 2135?

Answer: Factors of 2135 are 1, 5, 7, 35, 61, 305, 427, 2135. There are 8 integers that are factors of 2135. The greatest factor of 2135 is 2135.

4. How to Find the LCM of 2128 and 2135?

Answer:

Least Common Multiple of 2128 and 2135 = 649040

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 2135

2135 = 5 x 7 x 61

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

LCM = 649040 = 2 x 2 x 2 x 2 x 5 x 7 x 19 x 61

Step 4: Therefore, the least common multiple of 2128 and 2135 is 649040.