Least Common Multiple of 10034 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 10034 and 10042 the smallest integer that is 50380714 that is divisible by both numbers.

Least Common Multiple (LCM) of 10034 and 10042 is 50380714.

LCM(10034,10042) = 50380714

LCM of 10034 and 10042

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

LCM of:
and

Least Common Multiple of 10034 and 10042

LCM of 10034 and 10042 is 50380714

Least common multiple can be found by multiplying the highest exponent prime factors of 10034 and 10042. First we will calculate the prime factors of 10034 and 10042.

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

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 10034 and 10042.

LCM(10034,10042) = 21×291×1731×50211
LCM(10034,10042) = 50380714

Factors of 10034

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

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

Factors of 10042

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

1, 2, 5021, 10042

Least Common Multiple of 10034 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 10034 and 10042, than apply into the LCM equation.

GCF(10034,10042) = 2
LCM(10034,10042) = ( 10034 × 10042) / 2
LCM(10034,10042) = 100761428 / 2
LCM(10034,10042) = 50380714

Properties of LCM 10034 and 10042

(i) The LCM of 10042 and 10034 is associative

LCM of 10034 and 10042 = LCM of 10042 and 10034

Related Least Common Multiples of 10034

Related Least Common Multiples of 10042

Frequently Asked Questions on LCM of 10034 and 10042

1. What is the LCM of 10034 and 10042?

Answer: LCM of 10034 and 10042 is 50380714.

2. 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.

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 10034 and 10042?

Answer:

Least Common Multiple of 10034 and 10042 = 50380714

Step 1: Find the prime factorization of 10034

10034 = 2 x 29 x 173

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 = 50380714 = 2 x 29 x 173 x 5021

Step 4: Therefore, the least common multiple of 10034 and 10042 is 50380714.