Least Common Multiple of 10038 and 10040

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10038 and 10040 the smallest integer that is 50390760 that is divisible by both numbers.

Least Common Multiple (LCM) of 10038 and 10040 is 50390760.

LCM(10038,10040) = 50390760

LCM of 10038 and 10040

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

LCM of:
and

Least Common Multiple of 10038 and 10040

LCM of 10038 and 10040 is 50390760

Least common multiple can be found by multiplying the highest exponent prime factors of 10038 and 10040. First we will calculate the prime factors of 10038 and 10040.

Prime Factorization of 10038


2 10038
3 5019
7 1673
239 239
1

Prime factors of 10038 are 2, 3, 7,239. Prime factorization of 10038 in exponential form is:

10038 = 21×31×71×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10038 and 10040.

LCM(10038,10040) = 23×31×51×71×2391×2511
LCM(10038,10040) = 50390760

Factors of 10038

List of positive integer factors of 10038 that divides 10038 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038

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

Least Common Multiple of 10038 and 10040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10038 and 10040, than apply into the LCM equation.

GCF(10038,10040) = 2
LCM(10038,10040) = ( 10038 × 10040) / 2
LCM(10038,10040) = 100781520 / 2
LCM(10038,10040) = 50390760

Properties of LCM 10038 and 10040

(i) The LCM of 10040 and 10038 is associative

LCM of 10038 and 10040 = LCM of 10040 and 10038

Related Least Common Multiples of 10038

Related Least Common Multiples of 10040

Frequently Asked Questions on LCM of 10038 and 10040

1. What is the LCM of 10038 and 10040?

Answer: LCM of 10038 and 10040 is 50390760.

2. What are the Factors of 10038?

Answer: Factors of 10038 are 1, 2, 3, 6, 7, 14, 21, 42, 239, 478, 717, 1434, 1673, 3346, 5019, 10038. There are 16 integers that are factors of 10038. The greatest factor of 10038 is 10038.

3. 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.

4. How to Find the LCM of 10038 and 10040?

Answer:

Least Common Multiple of 10038 and 10040 = 50390760

Step 1: Find the prime factorization of 10038

10038 = 2 x 3 x 7 x 239

Step 2: Find the prime factorization of 10040

10040 = 2 x 2 x 2 x 5 x 251

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

LCM = 50390760 = 2 x 2 x 2 x 3 x 5 x 7 x 239 x 251

Step 4: Therefore, the least common multiple of 10038 and 10040 is 50390760.