Least Common Multiple of 6025 and 6031

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 6031 the smallest integer that is 36336775 that is divisible by both numbers.

Least Common Multiple (LCM) of 6025 and 6031 is 36336775.

LCM(6025,6031) = 36336775

LCM of 6025 and 6031

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

LCM of:
and

Least Common Multiple of 6025 and 6031

LCM of 6025 and 6031 is 36336775

Least common multiple can be found by multiplying the highest exponent prime factors of 6025 and 6031. First we will calculate the prime factors of 6025 and 6031.

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 6031


37 6031
163 163
1

Prime factors of 6031 are 37,163. Prime factorization of 6031 in exponential form is:

6031 = 371×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6025 and 6031.

LCM(6025,6031) = 52×371×1631×2411
LCM(6025,6031) = 36336775

Factors of 6025

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

1, 5, 25, 241, 1205, 6025

Factors of 6031

List of positive integer factors of 6031 that divides 6031 without a remainder.

1, 37, 163, 6031

Least Common Multiple of 6025 and 6031 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 6031, than apply into the LCM equation.

GCF(6025,6031) = 1
LCM(6025,6031) = ( 6025 × 6031) / 1
LCM(6025,6031) = 36336775 / 1
LCM(6025,6031) = 36336775

Properties of LCM 6025 and 6031

(i) The LCM of 6031 and 6025 is associative

LCM of 6025 and 6031 = LCM of 6031 and 6025

Related Least Common Multiples of 6025

Related Least Common Multiples of 6031

Frequently Asked Questions on LCM of 6025 and 6031

1. What is the LCM of 6025 and 6031?

Answer: LCM of 6025 and 6031 is 36336775.

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 6031?

Answer: Factors of 6031 are 1, 37, 163, 6031. There are 4 integers that are factors of 6031. The greatest factor of 6031 is 6031.

4. How to Find the LCM of 6025 and 6031?

Answer:

Least Common Multiple of 6025 and 6031 = 36336775

Step 1: Find the prime factorization of 6025

6025 = 5 x 5 x 241

Step 2: Find the prime factorization of 6031

6031 = 37 x 163

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

LCM = 36336775 = 5 x 5 x 37 x 163 x 241

Step 4: Therefore, the least common multiple of 6025 and 6031 is 36336775.