Least Common Multiple of 6025 and 6030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6025 and 6030 the smallest integer that is 7266150 that is divisible by both numbers.

Least Common Multiple (LCM) of 6025 and 6030 is 7266150.

LCM(6025,6030) = 7266150

LCM of 6025 and 6030

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

LCM of:
and

Least Common Multiple of 6025 and 6030

LCM of 6025 and 6030 is 7266150

Least common multiple can be found by multiplying the highest exponent prime factors of 6025 and 6030. First we will calculate the prime factors of 6025 and 6030.

Prime Factorization of 6025


5 6025
5 1205
241 241
1

Prime factors of 6025 are 5,241. Prime factorization of 6025 in exponential form is:

6025 = 52×2411

Prime Factorization of 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2, 3, 5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6025 and 6030.

LCM(6025,6030) = 21×32×52×671×2411
LCM(6025,6030) = 7266150

Factors of 6025

List of positive integer factors of 6025 that divides 6025 without a remainder.

1, 5, 25, 241, 1205, 6025

Factors of 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030

Least Common Multiple of 6025 and 6030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6025 and 6030, than apply into the LCM equation.

GCF(6025,6030) = 5
LCM(6025,6030) = ( 6025 × 6030) / 5
LCM(6025,6030) = 36330750 / 5
LCM(6025,6030) = 7266150

Properties of LCM 6025 and 6030

(i) The LCM of 6030 and 6025 is associative

LCM of 6025 and 6030 = LCM of 6030 and 6025

Related Least Common Multiples of 6025

Related Least Common Multiples of 6030

Frequently Asked Questions on LCM of 6025 and 6030

1. What is the LCM of 6025 and 6030?

Answer: LCM of 6025 and 6030 is 7266150.

2. What are the Factors of 6025?

Answer: Factors of 6025 are 1, 5, 25, 241, 1205, 6025. There are 6 integers that are factors of 6025. The greatest factor of 6025 is 6025.

3. What are the Factors of 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

4. How to Find the LCM of 6025 and 6030?

Answer:

Least Common Multiple of 6025 and 6030 = 7266150

Step 1: Find the prime factorization of 6025

6025 = 5 x 5 x 241

Step 2: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

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

LCM = 7266150 = 2 x 3 x 3 x 5 x 5 x 67 x 241

Step 4: Therefore, the least common multiple of 6025 and 6030 is 7266150.