Least Common Multiple of 5129 and 5132

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 5132 the smallest integer that is 26322028 that is divisible by both numbers.

Least Common Multiple (LCM) of 5129 and 5132 is 26322028.

LCM(5129,5132) = 26322028

LCM of 5129 and 5132

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

LCM of:
and

Least Common Multiple of 5129 and 5132

LCM of 5129 and 5132 is 26322028

Least common multiple can be found by multiplying the highest exponent prime factors of 5129 and 5132. First we will calculate the prime factors of 5129 and 5132.

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 5132


2 5132
2 2566
1283 1283
1

Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:

5132 = 22×12831

Now multiplying the highest exponent prime factors to calculate the LCM of 5129 and 5132.

LCM(5129,5132) = 22×231×2231×12831
LCM(5129,5132) = 26322028

Factors of 5129

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

1, 23, 223, 5129

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1, 2, 4, 1283, 2566, 5132

Least Common Multiple of 5129 and 5132 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 5132, than apply into the LCM equation.

GCF(5129,5132) = 1
LCM(5129,5132) = ( 5129 × 5132) / 1
LCM(5129,5132) = 26322028 / 1
LCM(5129,5132) = 26322028

Properties of LCM 5129 and 5132

(i) The LCM of 5132 and 5129 is associative

LCM of 5129 and 5132 = LCM of 5132 and 5129

Related Least Common Multiples of 5129

Related Least Common Multiples of 5132

Frequently Asked Questions on LCM of 5129 and 5132

1. What is the LCM of 5129 and 5132?

Answer: LCM of 5129 and 5132 is 26322028.

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 5132?

Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.

4. How to Find the LCM of 5129 and 5132?

Answer:

Least Common Multiple of 5129 and 5132 = 26322028

Step 1: Find the prime factorization of 5129

5129 = 23 x 223

Step 2: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

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

LCM = 26322028 = 2 x 2 x 23 x 223 x 1283

Step 4: Therefore, the least common multiple of 5129 and 5132 is 26322028.