Least Common Multiple of 3025 and 3030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3025 and 3030 the smallest integer that is 1833150 that is divisible by both numbers.

Least Common Multiple (LCM) of 3025 and 3030 is 1833150.

LCM(3025,3030) = 1833150

LCM of 3025 and 3030

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

LCM of:
and

Least Common Multiple of 3025 and 3030

LCM of 3025 and 3030 is 1833150

Least common multiple can be found by multiplying the highest exponent prime factors of 3025 and 3030. First we will calculate the prime factors of 3025 and 3030.

Prime Factorization of 3025


5 3025
5 605
11 121
11 11
1

Prime factors of 3025 are 5,11. Prime factorization of 3025 in exponential form is:

3025 = 52×112

Prime Factorization of 3030


2 3030
3 1515
5 505
101 101
1

Prime factors of 3030 are 2, 3, 5,101. Prime factorization of 3030 in exponential form is:

3030 = 21×31×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 3025 and 3030.

LCM(3025,3030) = 21×31×52×112×1011
LCM(3025,3030) = 1833150

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1, 5, 11, 25, 55, 121, 275, 605, 3025

Factors of 3030

List of positive integer factors of 3030 that divides 3030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030

Least Common Multiple of 3025 and 3030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3025 and 3030, than apply into the LCM equation.

GCF(3025,3030) = 5
LCM(3025,3030) = ( 3025 × 3030) / 5
LCM(3025,3030) = 9165750 / 5
LCM(3025,3030) = 1833150

Properties of LCM 3025 and 3030

(i) The LCM of 3030 and 3025 is associative

LCM of 3025 and 3030 = LCM of 3030 and 3025

Related Least Common Multiples of 3025

Related Least Common Multiples of 3030

Frequently Asked Questions on LCM of 3025 and 3030

1. What is the LCM of 3025 and 3030?

Answer: LCM of 3025 and 3030 is 1833150.

2. What are the Factors of 3025?

Answer: Factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025. There are 9 integers that are factors of 3025. The greatest factor of 3025 is 3025.

3. What are the Factors of 3030?

Answer: Factors of 3030 are 1, 2, 3, 5, 6, 10, 15, 30, 101, 202, 303, 505, 606, 1010, 1515, 3030. There are 16 integers that are factors of 3030. The greatest factor of 3030 is 3030.

4. How to Find the LCM of 3025 and 3030?

Answer:

Least Common Multiple of 3025 and 3030 = 1833150

Step 1: Find the prime factorization of 3025

3025 = 5 x 5 x 11 x 11

Step 2: Find the prime factorization of 3030

3030 = 2 x 3 x 5 x 101

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

LCM = 1833150 = 2 x 3 x 5 x 5 x 11 x 11 x 101

Step 4: Therefore, the least common multiple of 3025 and 3030 is 1833150.