Least Common Multiple of 5128 and 5135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5128 and 5135 the smallest integer that is 26332280 that is divisible by both numbers.

Least Common Multiple (LCM) of 5128 and 5135 is 26332280.

LCM(5128,5135) = 26332280

LCM of 5128 and 5135

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

LCM of:
and

Least Common Multiple of 5128 and 5135

LCM of 5128 and 5135 is 26332280

Least common multiple can be found by multiplying the highest exponent prime factors of 5128 and 5135. First we will calculate the prime factors of 5128 and 5135.

Prime Factorization of 5128


2 5128
2 2564
2 1282
641 641
1

Prime factors of 5128 are 2,641. Prime factorization of 5128 in exponential form is:

5128 = 23×6411

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5, 13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5128 and 5135.

LCM(5128,5135) = 23×51×131×791×6411
LCM(5128,5135) = 26332280

Factors of 5128

List of positive integer factors of 5128 that divides 5128 without a remainder.

1, 2, 4, 8, 641, 1282, 2564, 5128

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1, 5, 13, 65, 79, 395, 1027, 5135

Least Common Multiple of 5128 and 5135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5128 and 5135, than apply into the LCM equation.

GCF(5128,5135) = 1
LCM(5128,5135) = ( 5128 × 5135) / 1
LCM(5128,5135) = 26332280 / 1
LCM(5128,5135) = 26332280

Properties of LCM 5128 and 5135

(i) The LCM of 5135 and 5128 is associative

LCM of 5128 and 5135 = LCM of 5135 and 5128

Related Least Common Multiples of 5128

Related Least Common Multiples of 5135

Frequently Asked Questions on LCM of 5128 and 5135

1. What is the LCM of 5128 and 5135?

Answer: LCM of 5128 and 5135 is 26332280.

2. What are the Factors of 5128?

Answer: Factors of 5128 are 1, 2, 4, 8, 641, 1282, 2564, 5128. There are 8 integers that are factors of 5128. The greatest factor of 5128 is 5128.

3. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

4. How to Find the LCM of 5128 and 5135?

Answer:

Least Common Multiple of 5128 and 5135 = 26332280

Step 1: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

Step 2: Find the prime factorization of 5135

5135 = 5 x 13 x 79

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

LCM = 26332280 = 2 x 2 x 2 x 5 x 13 x 79 x 641

Step 4: Therefore, the least common multiple of 5128 and 5135 is 26332280.