Least Common Multiple of 5025 and 5027

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 5027 the smallest integer that is 25260675 that is divisible by both numbers.

Least Common Multiple (LCM) of 5025 and 5027 is 25260675.

LCM(5025,5027) = 25260675

LCM of 5025 and 5027

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

LCM of:
and

Least Common Multiple of 5025 and 5027

LCM of 5025 and 5027 is 25260675

Least common multiple can be found by multiplying the highest exponent prime factors of 5025 and 5027. First we will calculate the prime factors of 5025 and 5027.

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 5027


11 5027
457 457
1

Prime factors of 5027 are 11,457. Prime factorization of 5027 in exponential form is:

5027 = 111×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 5025 and 5027.

LCM(5025,5027) = 31×52×111×671×4571
LCM(5025,5027) = 25260675

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 5027

List of positive integer factors of 5027 that divides 5027 without a remainder.

1, 11, 457, 5027

Least Common Multiple of 5025 and 5027 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 5027, than apply into the LCM equation.

GCF(5025,5027) = 1
LCM(5025,5027) = ( 5025 × 5027) / 1
LCM(5025,5027) = 25260675 / 1
LCM(5025,5027) = 25260675

Properties of LCM 5025 and 5027

(i) The LCM of 5027 and 5025 is associative

LCM of 5025 and 5027 = LCM of 5027 and 5025

Frequently Asked Questions on LCM of 5025 and 5027

1. What is the LCM of 5025 and 5027?

Answer: LCM of 5025 and 5027 is 25260675.

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 5027?

Answer: Factors of 5027 are 1, 11, 457, 5027. There are 4 integers that are factors of 5027. The greatest factor of 5027 is 5027.

4. How to Find the LCM of 5025 and 5027?

Answer:

Least Common Multiple of 5025 and 5027 = 25260675

Step 1: Find the prime factorization of 5025

5025 = 3 x 5 x 5 x 67

Step 2: Find the prime factorization of 5027

5027 = 11 x 457

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

LCM = 25260675 = 3 x 5 x 5 x 11 x 67 x 457

Step 4: Therefore, the least common multiple of 5025 and 5027 is 25260675.