Least Common Multiple of 5035 and 5036

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 5036 the smallest integer that is 25356260 that is divisible by both numbers.

Least Common Multiple (LCM) of 5035 and 5036 is 25356260.

LCM(5035,5036) = 25356260

LCM of 5035 and 5036

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

LCM of:
and

Least Common Multiple of 5035 and 5036

LCM of 5035 and 5036 is 25356260

Least common multiple can be found by multiplying the highest exponent prime factors of 5035 and 5036. First we will calculate the prime factors of 5035 and 5036.

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 5036


2 5036
2 2518
1259 1259
1

Prime factors of 5036 are 2,1259. Prime factorization of 5036 in exponential form is:

5036 = 22×12591

Now multiplying the highest exponent prime factors to calculate the LCM of 5035 and 5036.

LCM(5035,5036) = 22×51×191×531×12591
LCM(5035,5036) = 25356260

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 5036

List of positive integer factors of 5036 that divides 5036 without a remainder.

1, 2, 4, 1259, 2518, 5036

Least Common Multiple of 5035 and 5036 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 5036, than apply into the LCM equation.

GCF(5035,5036) = 1
LCM(5035,5036) = ( 5035 × 5036) / 1
LCM(5035,5036) = 25356260 / 1
LCM(5035,5036) = 25356260

Properties of LCM 5035 and 5036

(i) The LCM of 5036 and 5035 is associative

LCM of 5035 and 5036 = LCM of 5036 and 5035

Related Least Common Multiples of 5035

Related Least Common Multiples of 5036

Frequently Asked Questions on LCM of 5035 and 5036

1. What is the LCM of 5035 and 5036?

Answer: LCM of 5035 and 5036 is 25356260.

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 5036?

Answer: Factors of 5036 are 1, 2, 4, 1259, 2518, 5036. There are 6 integers that are factors of 5036. The greatest factor of 5036 is 5036.

4. How to Find the LCM of 5035 and 5036?

Answer:

Least Common Multiple of 5035 and 5036 = 25356260

Step 1: Find the prime factorization of 5035

5035 = 5 x 19 x 53

Step 2: Find the prime factorization of 5036

5036 = 2 x 2 x 1259

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

LCM = 25356260 = 2 x 2 x 5 x 19 x 53 x 1259

Step 4: Therefore, the least common multiple of 5035 and 5036 is 25356260.