Least Common Multiple of 5023 and 5030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5023 and 5030 the smallest integer that is 25265690 that is divisible by both numbers.

Least Common Multiple (LCM) of 5023 and 5030 is 25265690.

LCM(5023,5030) = 25265690

LCM of 5023 and 5030

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

LCM of:
and

Least Common Multiple of 5023 and 5030

LCM of 5023 and 5030 is 25265690

Least common multiple can be found by multiplying the highest exponent prime factors of 5023 and 5030. First we will calculate the prime factors of 5023 and 5030.

Prime Factorization of 5023


5023 5023
1

Prime factors of 5023 are 5023. Prime factorization of 5023 in exponential form is:

5023 = 50231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5023 and 5030.

LCM(5023,5030) = 21×51×5031×50231
LCM(5023,5030) = 25265690

Factors of 5023

List of positive integer factors of 5023 that divides 5023 without a remainder.

1, 5023

Factors of 5030

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

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

Least Common Multiple of 5023 and 5030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5023 and 5030, than apply into the LCM equation.

GCF(5023,5030) = 1
LCM(5023,5030) = ( 5023 × 5030) / 1
LCM(5023,5030) = 25265690 / 1
LCM(5023,5030) = 25265690

Properties of LCM 5023 and 5030

(i) The LCM of 5030 and 5023 is associative

LCM of 5023 and 5030 = LCM of 5030 and 5023

Related Least Common Multiples of 5023

Related Least Common Multiples of 5030

Frequently Asked Questions on LCM of 5023 and 5030

1. What is the LCM of 5023 and 5030?

Answer: LCM of 5023 and 5030 is 25265690.

2. What are the Factors of 5023?

Answer: Factors of 5023 are 1, 5023. There are 2 integers that are factors of 5023. The greatest factor of 5023 is 5023.

3. 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.

4. How to Find the LCM of 5023 and 5030?

Answer:

Least Common Multiple of 5023 and 5030 = 25265690

Step 1: Find the prime factorization of 5023

5023 = 5023

Step 2: Find the prime factorization of 5030

5030 = 2 x 5 x 503

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

LCM = 25265690 = 2 x 5 x 503 x 5023

Step 4: Therefore, the least common multiple of 5023 and 5030 is 25265690.