Least Common Multiple of 5025 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 5025 and 5030 the smallest integer that is 5055150 that is divisible by both numbers.

Least Common Multiple (LCM) of 5025 and 5030 is 5055150.

LCM(5025,5030) = 5055150

LCM of 5025 and 5030

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

LCM of:
and

Least Common Multiple of 5025 and 5030

LCM of 5025 and 5030 is 5055150

Least common multiple can be found by multiplying the highest exponent prime factors of 5025 and 5030. First we will calculate the prime factors of 5025 and 5030.

Prime Factorization of 5025


3 5025
5 1675
5 335
67 67
1

Prime factors of 5025 are 3, 5,67. Prime factorization of 5025 in exponential form is:

5025 = 31×52×671

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 5025 and 5030.

LCM(5025,5030) = 21×31×52×671×5031
LCM(5025,5030) = 5055150

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025

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 5025 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 5025 and 5030, than apply into the LCM equation.

GCF(5025,5030) = 5
LCM(5025,5030) = ( 5025 × 5030) / 5
LCM(5025,5030) = 25275750 / 5
LCM(5025,5030) = 5055150

Properties of LCM 5025 and 5030

(i) The LCM of 5030 and 5025 is associative

LCM of 5025 and 5030 = LCM of 5030 and 5025

Related Least Common Multiples of 5025

Related Least Common Multiples of 5030

Frequently Asked Questions on LCM of 5025 and 5030

1. What is the LCM of 5025 and 5030?

Answer: LCM of 5025 and 5030 is 5055150.

2. What are the Factors of 5025?

Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.

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 5025 and 5030?

Answer:

Least Common Multiple of 5025 and 5030 = 5055150

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

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 = 5055150 = 2 x 3 x 5 x 5 x 67 x 503

Step 4: Therefore, the least common multiple of 5025 and 5030 is 5055150.