Least Common Multiple of 10037 and 10042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10037 and 10042 the smallest integer that is 100791554 that is divisible by both numbers.

Least Common Multiple (LCM) of 10037 and 10042 is 100791554.

LCM(10037,10042) = 100791554

LCM of 10037 and 10042

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

LCM of:
and

Least Common Multiple of 10037 and 10042

LCM of 10037 and 10042 is 100791554

Least common multiple can be found by multiplying the highest exponent prime factors of 10037 and 10042. First we will calculate the prime factors of 10037 and 10042.

Prime Factorization of 10037


10037 10037
1

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

10037 = 100371

Prime Factorization of 10042


2 10042
5021 5021
1

Prime factors of 10042 are 2,5021. Prime factorization of 10042 in exponential form is:

10042 = 21×50211

Now multiplying the highest exponent prime factors to calculate the LCM of 10037 and 10042.

LCM(10037,10042) = 21×50211×100371
LCM(10037,10042) = 100791554

Factors of 10037

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

1, 10037

Factors of 10042

List of positive integer factors of 10042 that divides 10042 without a remainder.

1, 2, 5021, 10042

Least Common Multiple of 10037 and 10042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10037 and 10042, than apply into the LCM equation.

GCF(10037,10042) = 1
LCM(10037,10042) = ( 10037 × 10042) / 1
LCM(10037,10042) = 100791554 / 1
LCM(10037,10042) = 100791554

Properties of LCM 10037 and 10042

(i) The LCM of 10042 and 10037 is associative

LCM of 10037 and 10042 = LCM of 10042 and 10037

Related Least Common Multiples of 10037

Related Least Common Multiples of 10042

Frequently Asked Questions on LCM of 10037 and 10042

1. What is the LCM of 10037 and 10042?

Answer: LCM of 10037 and 10042 is 100791554.

2. 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.

3. What are the Factors of 10042?

Answer: Factors of 10042 are 1, 2, 5021, 10042. There are 4 integers that are factors of 10042. The greatest factor of 10042 is 10042.

4. How to Find the LCM of 10037 and 10042?

Answer:

Least Common Multiple of 10037 and 10042 = 100791554

Step 1: Find the prime factorization of 10037

10037 = 10037

Step 2: Find the prime factorization of 10042

10042 = 2 x 5021

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

LCM = 100791554 = 2 x 5021 x 10037

Step 4: Therefore, the least common multiple of 10037 and 10042 is 100791554.