Least Common Multiple of 10040 and 10045

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10040 and 10045 the smallest integer that is 20170360 that is divisible by both numbers.

Least Common Multiple (LCM) of 10040 and 10045 is 20170360.

LCM(10040,10045) = 20170360

LCM of 10040 and 10045

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

LCM of:
and

Least Common Multiple of 10040 and 10045

LCM of 10040 and 10045 is 20170360

Least common multiple can be found by multiplying the highest exponent prime factors of 10040 and 10045. First we will calculate the prime factors of 10040 and 10045.

Prime Factorization of 10040


2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 10040 are 2, 5,251. Prime factorization of 10040 in exponential form is:

10040 = 23×51×2511

Prime Factorization of 10045


5 10045
7 2009
7 287
41 41
1

Prime factors of 10045 are 5, 7,41. Prime factorization of 10045 in exponential form is:

10045 = 51×72×411

Now multiplying the highest exponent prime factors to calculate the LCM of 10040 and 10045.

LCM(10040,10045) = 23×51×72×411×2511
LCM(10040,10045) = 20170360

Factors of 10040

List of positive integer factors of 10040 that divides 10040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040

Factors of 10045

List of positive integer factors of 10045 that divides 10045 without a remainder.

1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009, 10045

Least Common Multiple of 10040 and 10045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10040 and 10045, than apply into the LCM equation.

GCF(10040,10045) = 5
LCM(10040,10045) = ( 10040 × 10045) / 5
LCM(10040,10045) = 100851800 / 5
LCM(10040,10045) = 20170360

Properties of LCM 10040 and 10045

(i) The LCM of 10045 and 10040 is associative

LCM of 10040 and 10045 = LCM of 10045 and 10040

Related Least Common Multiples of 10040

Related Least Common Multiples of 10045

Frequently Asked Questions on LCM of 10040 and 10045

1. What is the LCM of 10040 and 10045?

Answer: LCM of 10040 and 10045 is 20170360.

2. What are the Factors of 10040?

Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.

3. What are the Factors of 10045?

Answer: Factors of 10045 are 1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009, 10045. There are 12 integers that are factors of 10045. The greatest factor of 10045 is 10045.

4. How to Find the LCM of 10040 and 10045?

Answer:

Least Common Multiple of 10040 and 10045 = 20170360

Step 1: Find the prime factorization of 10040

10040 = 2 x 2 x 2 x 5 x 251

Step 2: Find the prime factorization of 10045

10045 = 5 x 7 x 7 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 = 20170360 = 2 x 2 x 2 x 5 x 7 x 7 x 41 x 251

Step 4: Therefore, the least common multiple of 10040 and 10045 is 20170360.