Least Common Multiple of 10029 and 10037

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 10037 the smallest integer that is 100661073 that is divisible by both numbers.

Least Common Multiple (LCM) of 10029 and 10037 is 100661073.

LCM(10029,10037) = 100661073

LCM of 10029 and 10037

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

LCM of:
and

Least Common Multiple of 10029 and 10037

LCM of 10029 and 10037 is 100661073

Least common multiple can be found by multiplying the highest exponent prime factors of 10029 and 10037. First we will calculate the prime factors of 10029 and 10037.

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 10037


10037 10037
1

Prime factors of 10037 are 10037. Prime factorization of 10037 in exponential form is:

10037 = 100371

Now multiplying the highest exponent prime factors to calculate the LCM of 10029 and 10037.

LCM(10029,10037) = 31×33431×100371
LCM(10029,10037) = 100661073

Factors of 10029

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

1, 3, 3343, 10029

Factors of 10037

List of positive integer factors of 10037 that divides 10037 without a remainder.

1, 10037

Least Common Multiple of 10029 and 10037 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 10037, than apply into the LCM equation.

GCF(10029,10037) = 1
LCM(10029,10037) = ( 10029 × 10037) / 1
LCM(10029,10037) = 100661073 / 1
LCM(10029,10037) = 100661073

Properties of LCM 10029 and 10037

(i) The LCM of 10037 and 10029 is associative

LCM of 10029 and 10037 = LCM of 10037 and 10029

Related Least Common Multiples of 10029

Related Least Common Multiples of 10037

Frequently Asked Questions on LCM of 10029 and 10037

1. What is the LCM of 10029 and 10037?

Answer: LCM of 10029 and 10037 is 100661073.

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 10037?

Answer: Factors of 10037 are 1, 10037. There are 2 integers that are factors of 10037. The greatest factor of 10037 is 10037.

4. How to Find the LCM of 10029 and 10037?

Answer:

Least Common Multiple of 10029 and 10037 = 100661073

Step 1: Find the prime factorization of 10029

10029 = 3 x 3343

Step 2: Find the prime factorization of 10037

10037 = 10037

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

LCM = 100661073 = 3 x 3343 x 10037

Step 4: Therefore, the least common multiple of 10029 and 10037 is 100661073.