Least Common Multiple of 5035 and 5042

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5035 and 5042 the smallest integer that is 25386470 that is divisible by both numbers.

Least Common Multiple (LCM) of 5035 and 5042 is 25386470.

LCM(5035,5042) = 25386470

LCM of 5035 and 5042

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

LCM of:
and

Least Common Multiple of 5035 and 5042

LCM of 5035 and 5042 is 25386470

Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5042. First we will calculate the prime factors of 5035 and 5042.

Prime Factorization of 5035


5 5035
19 1007
53 53
1

Prime factors of 5035 are 5, 19,53. Prime factorization of 5035 in exponential form is:

5035 = 51×191×531

Prime Factorization of 5042


2 5042
2521 2521
1

Prime factors of 5042 are 2,2521. Prime factorization of 5042 in exponential form is:

5042 = 21×25211

Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5042.

LCM(5035,5042) = 21×51×191×531×25211
LCM(5035,5042) = 25386470

Factors of 5035

List of positive integer factors of 5035 that divides 5035 without a remainder.

1, 5, 19, 53, 95, 265, 1007, 5035

Factors of 5042

List of positive integer factors of 5042 that divides 5042 without a remainder.

1, 2, 2521, 5042

Least Common Multiple of 5035 and 5042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5035 and 5042, than apply into the LCM equation.

GCF(5035,5042) = 1
LCM(5035,5042) = ( 5035 × 5042) / 1
LCM(5035,5042) = 25386470 / 1
LCM(5035,5042) = 25386470

Properties of LCM 5035 and 5042

(i) The LCM of 5042 and 5035 is associative

LCM of 5035 and 5042 = LCM of 5042 and 5035

Related Least Common Multiples of 5035

Related Least Common Multiples of 5042

Frequently Asked Questions on LCM of 5035 and 5042

1. What is the LCM of 5035 and 5042?

Answer: LCM of 5035 and 5042 is 25386470.

2. What are the Factors of 5035?

Answer: Factors of 5035 are 1, 5, 19, 53, 95, 265, 1007, 5035. There are 8 integers that are factors of 5035. The greatest factor of 5035 is 5035.

3. What are the Factors of 5042?

Answer: Factors of 5042 are 1, 2, 2521, 5042. There are 4 integers that are factors of 5042. The greatest factor of 5042 is 5042.

4. How to Find the LCM of 5035 and 5042?

Answer:

Least Common Multiple of 5035 and 5042 = 25386470

Step 1: Find the prime factorization of 5035

5035 = 5 x 19 x 53

Step 2: Find the prime factorization of 5042

5042 = 2 x 2521

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

LCM = 25386470 = 2 x 5 x 19 x 53 x 2521

Step 4: Therefore, the least common multiple of 5035 and 5042 is 25386470.