Least Common Multiple of 5038 and 5043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5038 and 5043 the smallest integer that is 25406634 that is divisible by both numbers.

Least Common Multiple (LCM) of 5038 and 5043 is 25406634.

LCM(5038,5043) = 25406634

LCM of 5038 and 5043

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

LCM of:
and

Least Common Multiple of 5038 and 5043

LCM of 5038 and 5043 is 25406634

Least common multiple can be found by multiplying the highest exponent prime factors of 5038 and 5043. First we will calculate the prime factors of 5038 and 5043.

Prime Factorization of 5038


2 5038
11 2519
229 229
1

Prime factors of 5038 are 2, 11,229. Prime factorization of 5038 in exponential form is:

5038 = 21×111×2291

Prime Factorization of 5043


3 5043
41 1681
41 41
1

Prime factors of 5043 are 3,41. Prime factorization of 5043 in exponential form is:

5043 = 31×412

Now multiplying the highest exponent prime factors to calculate the LCM of 5038 and 5043.

LCM(5038,5043) = 21×31×111×412×2291
LCM(5038,5043) = 25406634

Factors of 5038

List of positive integer factors of 5038 that divides 5038 without a remainder.

1, 2, 11, 22, 229, 458, 2519, 5038

Factors of 5043

List of positive integer factors of 5043 that divides 5043 without a remainder.

1, 3, 41, 123, 1681, 5043

Least Common Multiple of 5038 and 5043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5038 and 5043, than apply into the LCM equation.

GCF(5038,5043) = 1
LCM(5038,5043) = ( 5038 × 5043) / 1
LCM(5038,5043) = 25406634 / 1
LCM(5038,5043) = 25406634

Properties of LCM 5038 and 5043

(i) The LCM of 5043 and 5038 is associative

LCM of 5038 and 5043 = LCM of 5043 and 5038

Related Least Common Multiples of 5038

Related Least Common Multiples of 5043

Frequently Asked Questions on LCM of 5038 and 5043

1. What is the LCM of 5038 and 5043?

Answer: LCM of 5038 and 5043 is 25406634.

2. What are the Factors of 5038?

Answer: Factors of 5038 are 1, 2, 11, 22, 229, 458, 2519, 5038. There are 8 integers that are factors of 5038. The greatest factor of 5038 is 5038.

3. What are the Factors of 5043?

Answer: Factors of 5043 are 1, 3, 41, 123, 1681, 5043. There are 6 integers that are factors of 5043. The greatest factor of 5043 is 5043.

4. How to Find the LCM of 5038 and 5043?

Answer:

Least Common Multiple of 5038 and 5043 = 25406634

Step 1: Find the prime factorization of 5038

5038 = 2 x 11 x 229

Step 2: Find the prime factorization of 5043

5043 = 3 x 41 x 41

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

LCM = 25406634 = 2 x 3 x 11 x 41 x 41 x 229

Step 4: Therefore, the least common multiple of 5038 and 5043 is 25406634.