Least Common Multiple of 4025 and 4030

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 4030 the smallest integer that is 3244150 that is divisible by both numbers.

Least Common Multiple (LCM) of 4025 and 4030 is 3244150.

LCM(4025,4030) = 3244150

LCM of 4025 and 4030

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

LCM of:
and

Least Common Multiple of 4025 and 4030

LCM of 4025 and 4030 is 3244150

Least common multiple can be found by multiplying the highest exponent prime factors of 4025 and 4030. First we will calculate the prime factors of 4025 and 4030.

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 4030


2 4030
5 2015
13 403
31 31
1

Prime factors of 4030 are 2, 5, 13,31. Prime factorization of 4030 in exponential form is:

4030 = 21×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4025 and 4030.

LCM(4025,4030) = 21×52×71×131×231×311
LCM(4025,4030) = 3244150

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 4030

List of positive integer factors of 4030 that divides 4030 without a remainder.

1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030

Least Common Multiple of 4025 and 4030 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 4030, than apply into the LCM equation.

GCF(4025,4030) = 5
LCM(4025,4030) = ( 4025 × 4030) / 5
LCM(4025,4030) = 16220750 / 5
LCM(4025,4030) = 3244150

Properties of LCM 4025 and 4030

(i) The LCM of 4030 and 4025 is associative

LCM of 4025 and 4030 = LCM of 4030 and 4025

Related Least Common Multiples of 4025

Related Least Common Multiples of 4030

Frequently Asked Questions on LCM of 4025 and 4030

1. What is the LCM of 4025 and 4030?

Answer: LCM of 4025 and 4030 is 3244150.

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 4030?

Answer: Factors of 4030 are 1, 2, 5, 10, 13, 26, 31, 62, 65, 130, 155, 310, 403, 806, 2015, 4030. There are 16 integers that are factors of 4030. The greatest factor of 4030 is 4030.

4. How to Find the LCM of 4025 and 4030?

Answer:

Least Common Multiple of 4025 and 4030 = 3244150

Step 1: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

Step 2: Find the prime factorization of 4030

4030 = 2 x 5 x 13 x 31

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

LCM = 3244150 = 2 x 5 x 5 x 7 x 13 x 23 x 31

Step 4: Therefore, the least common multiple of 4025 and 4030 is 3244150.