Least Common Multiple of 5129 and 5136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5129 and 5136 the smallest integer that is 26342544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5129 and 5136 is 26342544.

LCM(5129,5136) = 26342544

LCM of 5129 and 5136

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

LCM of:
and

Least Common Multiple of 5129 and 5136

LCM of 5129 and 5136 is 26342544

Least common multiple can be found by multiplying the highest exponent prime factors of 5129 and 5136. First we will calculate the prime factors of 5129 and 5136.

Prime Factorization of 5129


23 5129
223 223
1

Prime factors of 5129 are 23,223. Prime factorization of 5129 in exponential form is:

5129 = 231×2231

Prime Factorization of 5136


2 5136
2 2568
2 1284
2 642
3 321
107 107
1

Prime factors of 5136 are 2, 3,107. Prime factorization of 5136 in exponential form is:

5136 = 24×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5129 and 5136.

LCM(5129,5136) = 24×31×231×1071×2231
LCM(5129,5136) = 26342544

Factors of 5129

List of positive integer factors of 5129 that divides 5129 without a remainder.

1, 23, 223, 5129

Factors of 5136

List of positive integer factors of 5136 that divides 5136 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136

Least Common Multiple of 5129 and 5136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5129 and 5136, than apply into the LCM equation.

GCF(5129,5136) = 1
LCM(5129,5136) = ( 5129 × 5136) / 1
LCM(5129,5136) = 26342544 / 1
LCM(5129,5136) = 26342544

Properties of LCM 5129 and 5136

(i) The LCM of 5136 and 5129 is associative

LCM of 5129 and 5136 = LCM of 5136 and 5129

Related Least Common Multiples of 5129

Related Least Common Multiples of 5136

Frequently Asked Questions on LCM of 5129 and 5136

1. What is the LCM of 5129 and 5136?

Answer: LCM of 5129 and 5136 is 26342544.

2. What are the Factors of 5129?

Answer: Factors of 5129 are 1, 23, 223, 5129. There are 4 integers that are factors of 5129. The greatest factor of 5129 is 5129.

3. What are the Factors of 5136?

Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.

4. How to Find the LCM of 5129 and 5136?

Answer:

Least Common Multiple of 5129 and 5136 = 26342544

Step 1: Find the prime factorization of 5129

5129 = 23 x 223

Step 2: Find the prime factorization of 5136

5136 = 2 x 2 x 2 x 2 x 3 x 107

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

LCM = 26342544 = 2 x 2 x 2 x 2 x 3 x 23 x 107 x 223

Step 4: Therefore, the least common multiple of 5129 and 5136 is 26342544.