Least Common Multiple of 5038 and 5045

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 5045 the smallest integer that is 25416710 that is divisible by both numbers.

Least Common Multiple (LCM) of 5038 and 5045 is 25416710.

LCM(5038,5045) = 25416710

LCM of 5038 and 5045

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

LCM of:
and

Least Common Multiple of 5038 and 5045

LCM of 5038 and 5045 is 25416710

Least common multiple can be found by multiplying the highest exponent prime factors of 5038 and 5045. First we will calculate the prime factors of 5038 and 5045.

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 5045


5 5045
1009 1009
1

Prime factors of 5045 are 5,1009. Prime factorization of 5045 in exponential form is:

5045 = 51×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 5038 and 5045.

LCM(5038,5045) = 21×51×111×2291×10091
LCM(5038,5045) = 25416710

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 5045

List of positive integer factors of 5045 that divides 5045 without a remainder.

1, 5, 1009, 5045

Least Common Multiple of 5038 and 5045 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 5045, than apply into the LCM equation.

GCF(5038,5045) = 1
LCM(5038,5045) = ( 5038 × 5045) / 1
LCM(5038,5045) = 25416710 / 1
LCM(5038,5045) = 25416710

Properties of LCM 5038 and 5045

(i) The LCM of 5045 and 5038 is associative

LCM of 5038 and 5045 = LCM of 5045 and 5038

Related Least Common Multiples of 5038

Related Least Common Multiples of 5045

Frequently Asked Questions on LCM of 5038 and 5045

1. What is the LCM of 5038 and 5045?

Answer: LCM of 5038 and 5045 is 25416710.

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 5045?

Answer: Factors of 5045 are 1, 5, 1009, 5045. There are 4 integers that are factors of 5045. The greatest factor of 5045 is 5045.

4. How to Find the LCM of 5038 and 5045?

Answer:

Least Common Multiple of 5038 and 5045 = 25416710

Step 1: Find the prime factorization of 5038

5038 = 2 x 11 x 229

Step 2: Find the prime factorization of 5045

5045 = 5 x 1009

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

LCM = 25416710 = 2 x 5 x 11 x 229 x 1009

Step 4: Therefore, the least common multiple of 5038 and 5045 is 25416710.