Least Common Multiple of 10023 and 10029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10023 and 10029 the smallest integer that is 33506889 that is divisible by both numbers.

Least Common Multiple (LCM) of 10023 and 10029 is 33506889.

LCM(10023,10029) = 33506889

LCM of 10023 and 10029

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

LCM of:
and

Least Common Multiple of 10023 and 10029

LCM of 10023 and 10029 is 33506889

Least common multiple can be found by multiplying the highest exponent prime factors of 10023 and 10029. First we will calculate the prime factors of 10023 and 10029.

Prime Factorization of 10023


3 10023
13 3341
257 257
1

Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:

10023 = 31×131×2571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10023 and 10029.

LCM(10023,10029) = 31×131×2571×33431
LCM(10023,10029) = 33506889

Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341, 10023

Factors of 10029

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

1, 3, 3343, 10029

Least Common Multiple of 10023 and 10029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10023 and 10029, than apply into the LCM equation.

GCF(10023,10029) = 3
LCM(10023,10029) = ( 10023 × 10029) / 3
LCM(10023,10029) = 100520667 / 3
LCM(10023,10029) = 33506889

Properties of LCM 10023 and 10029

(i) The LCM of 10029 and 10023 is associative

LCM of 10023 and 10029 = LCM of 10029 and 10023

Related Least Common Multiples of 10023

Related Least Common Multiples of 10029

Frequently Asked Questions on LCM of 10023 and 10029

1. What is the LCM of 10023 and 10029?

Answer: LCM of 10023 and 10029 is 33506889.

2. What are the Factors of 10023?

Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.

3. 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.

4. How to Find the LCM of 10023 and 10029?

Answer:

Least Common Multiple of 10023 and 10029 = 33506889

Step 1: Find the prime factorization of 10023

10023 = 3 x 13 x 257

Step 2: Find the prime factorization of 10029

10029 = 3 x 3343

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

LCM = 33506889 = 3 x 13 x 257 x 3343

Step 4: Therefore, the least common multiple of 10023 and 10029 is 33506889.