Least Common Multiple of 5030 and 5037

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 5037 the smallest integer that is 25336110 that is divisible by both numbers.

Least Common Multiple (LCM) of 5030 and 5037 is 25336110.

LCM(5030,5037) = 25336110

LCM of 5030 and 5037

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

LCM of:
and

Least Common Multiple of 5030 and 5037

LCM of 5030 and 5037 is 25336110

Least common multiple can be found by multiplying the highest exponent prime factors of 5030 and 5037. First we will calculate the prime factors of 5030 and 5037.

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 5037


3 5037
23 1679
73 73
1

Prime factors of 5037 are 3, 23,73. Prime factorization of 5037 in exponential form is:

5037 = 31×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5030 and 5037.

LCM(5030,5037) = 21×31×51×231×731×5031
LCM(5030,5037) = 25336110

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 5037

List of positive integer factors of 5037 that divides 5037 without a remainder.

1, 3, 23, 69, 73, 219, 1679, 5037

Least Common Multiple of 5030 and 5037 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 5037, than apply into the LCM equation.

GCF(5030,5037) = 1
LCM(5030,5037) = ( 5030 × 5037) / 1
LCM(5030,5037) = 25336110 / 1
LCM(5030,5037) = 25336110

Properties of LCM 5030 and 5037

(i) The LCM of 5037 and 5030 is associative

LCM of 5030 and 5037 = LCM of 5037 and 5030

Related Least Common Multiples of 5030

Related Least Common Multiples of 5037

Frequently Asked Questions on LCM of 5030 and 5037

1. What is the LCM of 5030 and 5037?

Answer: LCM of 5030 and 5037 is 25336110.

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 5037?

Answer: Factors of 5037 are 1, 3, 23, 69, 73, 219, 1679, 5037. There are 8 integers that are factors of 5037. The greatest factor of 5037 is 5037.

4. How to Find the LCM of 5030 and 5037?

Answer:

Least Common Multiple of 5030 and 5037 = 25336110

Step 1: Find the prime factorization of 5030

5030 = 2 x 5 x 503

Step 2: Find the prime factorization of 5037

5037 = 3 x 23 x 73

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

LCM = 25336110 = 2 x 3 x 5 x 23 x 73 x 503

Step 4: Therefore, the least common multiple of 5030 and 5037 is 25336110.