Least Common Multiple of 5026 and 5032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5026 and 5032 the smallest integer that is 12645416 that is divisible by both numbers.

Least Common Multiple (LCM) of 5026 and 5032 is 12645416.

LCM(5026,5032) = 12645416

LCM of 5026 and 5032

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

LCM of:
and

Least Common Multiple of 5026 and 5032

LCM of 5026 and 5032 is 12645416

Least common multiple can be found by multiplying the highest exponent prime factors of 5026 and 5032. First we will calculate the prime factors of 5026 and 5032.

Prime Factorization of 5026


2 5026
7 2513
359 359
1

Prime factors of 5026 are 2, 7,359. Prime factorization of 5026 in exponential form is:

5026 = 21×71×3591

Prime Factorization of 5032


2 5032
2 2516
2 1258
17 629
37 37
1

Prime factors of 5032 are 2, 17,37. Prime factorization of 5032 in exponential form is:

5032 = 23×171×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5026 and 5032.

LCM(5026,5032) = 23×71×171×371×3591
LCM(5026,5032) = 12645416

Factors of 5026

List of positive integer factors of 5026 that divides 5026 without a remainder.

1, 2, 7, 14, 359, 718, 2513, 5026

Factors of 5032

List of positive integer factors of 5032 that divides 5032 without a remainder.

1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032

Least Common Multiple of 5026 and 5032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5026 and 5032, than apply into the LCM equation.

GCF(5026,5032) = 2
LCM(5026,5032) = ( 5026 × 5032) / 2
LCM(5026,5032) = 25290832 / 2
LCM(5026,5032) = 12645416

Properties of LCM 5026 and 5032

(i) The LCM of 5032 and 5026 is associative

LCM of 5026 and 5032 = LCM of 5032 and 5026

Related Least Common Multiples of 5026

Related Least Common Multiples of 5032

Frequently Asked Questions on LCM of 5026 and 5032

1. What is the LCM of 5026 and 5032?

Answer: LCM of 5026 and 5032 is 12645416.

2. What are the Factors of 5026?

Answer: Factors of 5026 are 1, 2, 7, 14, 359, 718, 2513, 5026. There are 8 integers that are factors of 5026. The greatest factor of 5026 is 5026.

3. What are the Factors of 5032?

Answer: Factors of 5032 are 1, 2, 4, 8, 17, 34, 37, 68, 74, 136, 148, 296, 629, 1258, 2516, 5032. There are 16 integers that are factors of 5032. The greatest factor of 5032 is 5032.

4. How to Find the LCM of 5026 and 5032?

Answer:

Least Common Multiple of 5026 and 5032 = 12645416

Step 1: Find the prime factorization of 5026

5026 = 2 x 7 x 359

Step 2: Find the prime factorization of 5032

5032 = 2 x 2 x 2 x 17 x 37

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

LCM = 12645416 = 2 x 2 x 2 x 7 x 17 x 37 x 359

Step 4: Therefore, the least common multiple of 5026 and 5032 is 12645416.