Least Common Multiple of 5025 and 5028

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 5028 the smallest integer that is 8421900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5025 and 5028 is 8421900.

LCM(5025,5028) = 8421900

LCM of 5025 and 5028

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

LCM of:
and

Least Common Multiple of 5025 and 5028

LCM of 5025 and 5028 is 8421900

Least common multiple can be found by multiplying the highest exponent prime factors of 5025 and 5028. First we will calculate the prime factors of 5025 and 5028.

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 5028


2 5028
2 2514
3 1257
419 419
1

Prime factors of 5028 are 2, 3,419. Prime factorization of 5028 in exponential form is:

5028 = 22×31×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 5025 and 5028.

LCM(5025,5028) = 22×31×52×671×4191
LCM(5025,5028) = 8421900

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 5028

List of positive integer factors of 5028 that divides 5028 without a remainder.

1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028

Least Common Multiple of 5025 and 5028 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 5028, than apply into the LCM equation.

GCF(5025,5028) = 3
LCM(5025,5028) = ( 5025 × 5028) / 3
LCM(5025,5028) = 25265700 / 3
LCM(5025,5028) = 8421900

Properties of LCM 5025 and 5028

(i) The LCM of 5028 and 5025 is associative

LCM of 5025 and 5028 = LCM of 5028 and 5025

Related Least Common Multiples of 5025

Related Least Common Multiples of 5028

Frequently Asked Questions on LCM of 5025 and 5028

1. What is the LCM of 5025 and 5028?

Answer: LCM of 5025 and 5028 is 8421900.

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 5028?

Answer: Factors of 5028 are 1, 2, 3, 4, 6, 12, 419, 838, 1257, 1676, 2514, 5028. There are 12 integers that are factors of 5028. The greatest factor of 5028 is 5028.

4. How to Find the LCM of 5025 and 5028?

Answer:

Least Common Multiple of 5025 and 5028 = 8421900

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

Step 2: Find the prime factorization of 5028

5028 = 2 x 2 x 3 x 419

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

LCM = 8421900 = 2 x 2 x 3 x 5 x 5 x 67 x 419

Step 4: Therefore, the least common multiple of 5025 and 5028 is 8421900.