Least Common Multiple of 10029 and 10034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10029 and 10034 the smallest integer that is 100630986 that is divisible by both numbers.

Least Common Multiple (LCM) of 10029 and 10034 is 100630986.

LCM(10029,10034) = 100630986

LCM of 10029 and 10034

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

LCM of:
and

Least Common Multiple of 10029 and 10034

LCM of 10029 and 10034 is 100630986

Least common multiple can be found by multiplying the highest exponent prime factors of 10029 and 10034. First we will calculate the prime factors of 10029 and 10034.

Prime Factorization of 10029


3 10029
3343 3343
1

Prime factors of 10029 are 3,3343. Prime factorization of 10029 in exponential form is:

10029 = 31×33431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10029 and 10034.

LCM(10029,10034) = 21×31×291×1731×33431
LCM(10029,10034) = 100630986

Factors of 10029

List of positive integer factors of 10029 that divides 10029 without a remainder.

1, 3, 3343, 10029

Factors of 10034

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

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

Least Common Multiple of 10029 and 10034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10029 and 10034, than apply into the LCM equation.

GCF(10029,10034) = 1
LCM(10029,10034) = ( 10029 × 10034) / 1
LCM(10029,10034) = 100630986 / 1
LCM(10029,10034) = 100630986

Properties of LCM 10029 and 10034

(i) The LCM of 10034 and 10029 is associative

LCM of 10029 and 10034 = LCM of 10034 and 10029

Related Least Common Multiples of 10029

Related Least Common Multiples of 10034

Frequently Asked Questions on LCM of 10029 and 10034

1. What is the LCM of 10029 and 10034?

Answer: LCM of 10029 and 10034 is 100630986.

2. What are the Factors of 10029?

Answer: Factors of 10029 are 1, 3, 3343, 10029. There are 4 integers that are factors of 10029. The greatest factor of 10029 is 10029.

3. 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.

4. How to Find the LCM of 10029 and 10034?

Answer:

Least Common Multiple of 10029 and 10034 = 100630986

Step 1: Find the prime factorization of 10029

10029 = 3 x 3343

Step 2: Find the prime factorization of 10034

10034 = 2 x 29 x 173

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

LCM = 100630986 = 2 x 3 x 29 x 173 x 3343

Step 4: Therefore, the least common multiple of 10029 and 10034 is 100630986.