Least Common Multiple of 5128 and 5134

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 5134 the smallest integer that is 13163576 that is divisible by both numbers.

Least Common Multiple (LCM) of 5128 and 5134 is 13163576.

LCM(5128,5134) = 13163576

LCM of 5128 and 5134

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

LCM of:
and

Least Common Multiple of 5128 and 5134

LCM of 5128 and 5134 is 13163576

Least common multiple can be found by multiplying the highest exponent prime factors of 5128 and 5134. First we will calculate the prime factors of 5128 and 5134.

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 5134


2 5134
17 2567
151 151
1

Prime factors of 5134 are 2, 17,151. Prime factorization of 5134 in exponential form is:

5134 = 21×171×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5128 and 5134.

LCM(5128,5134) = 23×171×1511×6411
LCM(5128,5134) = 13163576

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 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1, 2, 17, 34, 151, 302, 2567, 5134

Least Common Multiple of 5128 and 5134 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 5134, than apply into the LCM equation.

GCF(5128,5134) = 2
LCM(5128,5134) = ( 5128 × 5134) / 2
LCM(5128,5134) = 26327152 / 2
LCM(5128,5134) = 13163576

Properties of LCM 5128 and 5134

(i) The LCM of 5134 and 5128 is associative

LCM of 5128 and 5134 = LCM of 5134 and 5128

Related Least Common Multiples of 5128

Related Least Common Multiples of 5134

Frequently Asked Questions on LCM of 5128 and 5134

1. What is the LCM of 5128 and 5134?

Answer: LCM of 5128 and 5134 is 13163576.

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 5134?

Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.

4. How to Find the LCM of 5128 and 5134?

Answer:

Least Common Multiple of 5128 and 5134 = 13163576

Step 1: Find the prime factorization of 5128

5128 = 2 x 2 x 2 x 641

Step 2: Find the prime factorization of 5134

5134 = 2 x 17 x 151

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

LCM = 13163576 = 2 x 2 x 2 x 17 x 151 x 641

Step 4: Therefore, the least common multiple of 5128 and 5134 is 13163576.