Least Common Multiple of 10034 and 10038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10034 and 10038 the smallest integer that is 50360646 that is divisible by both numbers.

Least Common Multiple (LCM) of 10034 and 10038 is 50360646.

LCM(10034,10038) = 50360646

LCM of 10034 and 10038

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

LCM of:
and

Least Common Multiple of 10034 and 10038

LCM of 10034 and 10038 is 50360646

Least common multiple can be found by multiplying the highest exponent prime factors of 10034 and 10038. First we will calculate the prime factors of 10034 and 10038.

Prime Factorization of 10034


2 10034
29 5017
173 173
1

Prime factors of 10034 are 2, 29,173. Prime factorization of 10034 in exponential form is:

10034 = 21×291×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10034 and 10038.

LCM(10034,10038) = 21×31×71×291×1731×2391
LCM(10034,10038) = 50360646

Factors of 10034

List of positive integer factors of 10034 that divides 10034 without a remainder.

1, 2, 29, 58, 173, 346, 5017, 10034

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

Least Common Multiple of 10034 and 10038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10034 and 10038, than apply into the LCM equation.

GCF(10034,10038) = 2
LCM(10034,10038) = ( 10034 × 10038) / 2
LCM(10034,10038) = 100721292 / 2
LCM(10034,10038) = 50360646

Properties of LCM 10034 and 10038

(i) The LCM of 10038 and 10034 is associative

LCM of 10034 and 10038 = LCM of 10038 and 10034

Related Least Common Multiples of 10034

Related Least Common Multiples of 10038

Frequently Asked Questions on LCM of 10034 and 10038

1. What is the LCM of 10034 and 10038?

Answer: LCM of 10034 and 10038 is 50360646.

2. What are the Factors of 10034?

Answer: Factors of 10034 are 1, 2, 29, 58, 173, 346, 5017, 10034. There are 8 integers that are factors of 10034. The greatest factor of 10034 is 10034.

3. 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.

4. How to Find the LCM of 10034 and 10038?

Answer:

Least Common Multiple of 10034 and 10038 = 50360646

Step 1: Find the prime factorization of 10034

10034 = 2 x 29 x 173

Step 2: Find the prime factorization of 10038

10038 = 2 x 3 x 7 x 239

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

LCM = 50360646 = 2 x 3 x 7 x 29 x 173 x 239

Step 4: Therefore, the least common multiple of 10034 and 10038 is 50360646.