Least Common Multiple of 4025 and 4027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4025 and 4027 the smallest integer that is 16208675 that is divisible by both numbers.

Least Common Multiple (LCM) of 4025 and 4027 is 16208675.

LCM(4025,4027) = 16208675

LCM of 4025 and 4027

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

LCM of:
and

Least Common Multiple of 4025 and 4027

LCM of 4025 and 4027 is 16208675

Least common multiple can be found by multiplying the highest exponent prime factors of 4025 and 4027. First we will calculate the prime factors of 4025 and 4027.

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5, 7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Prime Factorization of 4027


4027 4027
1

Prime factors of 4027 are 4027. Prime factorization of 4027 in exponential form is:

4027 = 40271

Now multiplying the highest exponent prime factors to calculate the LCM of 4025 and 4027.

LCM(4025,4027) = 52×71×231×40271
LCM(4025,4027) = 16208675

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

Factors of 4027

List of positive integer factors of 4027 that divides 4027 without a remainder.

1, 4027

Least Common Multiple of 4025 and 4027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4025 and 4027, than apply into the LCM equation.

GCF(4025,4027) = 1
LCM(4025,4027) = ( 4025 × 4027) / 1
LCM(4025,4027) = 16208675 / 1
LCM(4025,4027) = 16208675

Properties of LCM 4025 and 4027

(i) The LCM of 4027 and 4025 is associative

LCM of 4025 and 4027 = LCM of 4027 and 4025

Related Least Common Multiples of 4025

Related Least Common Multiples of 4027

Frequently Asked Questions on LCM of 4025 and 4027

1. What is the LCM of 4025 and 4027?

Answer: LCM of 4025 and 4027 is 16208675.

2. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

3. What are the Factors of 4027?

Answer: Factors of 4027 are 1, 4027. There are 2 integers that are factors of 4027. The greatest factor of 4027 is 4027.

4. How to Find the LCM of 4025 and 4027?

Answer:

Least Common Multiple of 4025 and 4027 = 16208675

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4027

4027 = 4027

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

LCM = 16208675 = 5 x 5 x 7 x 23 x 4027

Step 4: Therefore, the least common multiple of 4025 and 4027 is 16208675.