Least Common Multiple of 10035 and 10039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10035 and 10039 the smallest integer that is 100741365 that is divisible by both numbers.

Least Common Multiple (LCM) of 10035 and 10039 is 100741365.

LCM(10035,10039) = 100741365

LCM of 10035 and 10039

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

LCM of:
and

Least Common Multiple of 10035 and 10039

LCM of 10035 and 10039 is 100741365

Least common multiple can be found by multiplying the highest exponent prime factors of 10035 and 10039. First we will calculate the prime factors of 10035 and 10039.

Prime Factorization of 10035


3 10035
3 3345
5 1115
223 223
1

Prime factors of 10035 are 3, 5,223. Prime factorization of 10035 in exponential form is:

10035 = 32×51×2231

Prime Factorization of 10039


10039 10039
1

Prime factors of 10039 are 10039. Prime factorization of 10039 in exponential form is:

10039 = 100391

Now multiplying the highest exponent prime factors to calculate the LCM of 10035 and 10039.

LCM(10035,10039) = 32×51×2231×100391
LCM(10035,10039) = 100741365

Factors of 10035

List of positive integer factors of 10035 that divides 10035 without a remainder.

1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345, 10035

Factors of 10039

List of positive integer factors of 10039 that divides 10039 without a remainder.

1, 10039

Least Common Multiple of 10035 and 10039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10035 and 10039, than apply into the LCM equation.

GCF(10035,10039) = 1
LCM(10035,10039) = ( 10035 × 10039) / 1
LCM(10035,10039) = 100741365 / 1
LCM(10035,10039) = 100741365

Properties of LCM 10035 and 10039

(i) The LCM of 10039 and 10035 is associative

LCM of 10035 and 10039 = LCM of 10039 and 10035

Related Least Common Multiples of 10035

Related Least Common Multiples of 10039

Frequently Asked Questions on LCM of 10035 and 10039

1. What is the LCM of 10035 and 10039?

Answer: LCM of 10035 and 10039 is 100741365.

2. What are the Factors of 10035?

Answer: Factors of 10035 are 1, 3, 5, 9, 15, 45, 223, 669, 1115, 2007, 3345, 10035. There are 12 integers that are factors of 10035. The greatest factor of 10035 is 10035.

3. What are the Factors of 10039?

Answer: Factors of 10039 are 1, 10039. There are 2 integers that are factors of 10039. The greatest factor of 10039 is 10039.

4. How to Find the LCM of 10035 and 10039?

Answer:

Least Common Multiple of 10035 and 10039 = 100741365

Step 1: Find the prime factorization of 10035

10035 = 3 x 3 x 5 x 223

Step 2: Find the prime factorization of 10039

10039 = 10039

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

LCM = 100741365 = 3 x 3 x 5 x 223 x 10039

Step 4: Therefore, the least common multiple of 10035 and 10039 is 100741365.