Least Common Multiple of 6019 and 6025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6019 and 6025 the smallest integer that is 36264475 that is divisible by both numbers.

Least Common Multiple (LCM) of 6019 and 6025 is 36264475.

LCM(6019,6025) = 36264475

LCM of 6019 and 6025

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

LCM of:
and

Least Common Multiple of 6019 and 6025

LCM of 6019 and 6025 is 36264475

Least common multiple can be found by multiplying the highest exponent prime factors of 6019 and 6025. First we will calculate the prime factors of 6019 and 6025.

Prime Factorization of 6019


13 6019
463 463
1

Prime factors of 6019 are 13,463. Prime factorization of 6019 in exponential form is:

6019 = 131×4631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6019 and 6025.

LCM(6019,6025) = 52×131×2411×4631
LCM(6019,6025) = 36264475

Factors of 6019

List of positive integer factors of 6019 that divides 6019 without a remainder.

1, 13, 463, 6019

Factors of 6025

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

1, 5, 25, 241, 1205, 6025

Least Common Multiple of 6019 and 6025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6019 and 6025, than apply into the LCM equation.

GCF(6019,6025) = 1
LCM(6019,6025) = ( 6019 × 6025) / 1
LCM(6019,6025) = 36264475 / 1
LCM(6019,6025) = 36264475

Properties of LCM 6019 and 6025

(i) The LCM of 6025 and 6019 is associative

LCM of 6019 and 6025 = LCM of 6025 and 6019

Related Least Common Multiples of 6019

Related Least Common Multiples of 6025

Frequently Asked Questions on LCM of 6019 and 6025

1. What is the LCM of 6019 and 6025?

Answer: LCM of 6019 and 6025 is 36264475.

2. What are the Factors of 6019?

Answer: Factors of 6019 are 1, 13, 463, 6019. There are 4 integers that are factors of 6019. The greatest factor of 6019 is 6019.

3. 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.

4. How to Find the LCM of 6019 and 6025?

Answer:

Least Common Multiple of 6019 and 6025 = 36264475

Step 1: Find the prime factorization of 6019

6019 = 13 x 463

Step 2: Find the prime factorization of 6025

6025 = 5 x 5 x 241

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

LCM = 36264475 = 5 x 5 x 13 x 241 x 463

Step 4: Therefore, the least common multiple of 6019 and 6025 is 36264475.