Least Common Multiple of 5030 and 5035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5030 and 5035 the smallest integer that is 5065210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5030 and 5035 is 5065210.

LCM(5030,5035) = 5065210

LCM of 5030 and 5035

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

LCM of:
and

Least Common Multiple of 5030 and 5035

LCM of 5030 and 5035 is 5065210

Least common multiple can be found by multiplying the highest exponent prime factors of 5030 and 5035. First we will calculate the prime factors of 5030 and 5035.

Prime Factorization of 5030


2 5030
5 2515
503 503
1

Prime factors of 5030 are 2, 5,503. Prime factorization of 5030 in exponential form is:

5030 = 21×51×5031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5030 and 5035.

LCM(5030,5035) = 21×51×191×531×5031
LCM(5030,5035) = 5065210

Factors of 5030

List of positive integer factors of 5030 that divides 5030 without a remainder.

1, 2, 5, 10, 503, 1006, 2515, 5030

Factors of 5035

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

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

Least Common Multiple of 5030 and 5035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5030 and 5035, than apply into the LCM equation.

GCF(5030,5035) = 5
LCM(5030,5035) = ( 5030 × 5035) / 5
LCM(5030,5035) = 25326050 / 5
LCM(5030,5035) = 5065210

Properties of LCM 5030 and 5035

(i) The LCM of 5035 and 5030 is associative

LCM of 5030 and 5035 = LCM of 5035 and 5030

Related Least Common Multiples of 5030

Related Least Common Multiples of 5035

Frequently Asked Questions on LCM of 5030 and 5035

1. What is the LCM of 5030 and 5035?

Answer: LCM of 5030 and 5035 is 5065210.

2. What are the Factors of 5030?

Answer: Factors of 5030 are 1, 2, 5, 10, 503, 1006, 2515, 5030. There are 8 integers that are factors of 5030. The greatest factor of 5030 is 5030.

3. 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.

4. How to Find the LCM of 5030 and 5035?

Answer:

Least Common Multiple of 5030 and 5035 = 5065210

Step 1: Find the prime factorization of 5030

5030 = 2 x 5 x 503

Step 2: Find the prime factorization of 5035

5035 = 5 x 19 x 53

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

LCM = 5065210 = 2 x 5 x 19 x 53 x 503

Step 4: Therefore, the least common multiple of 5030 and 5035 is 5065210.