Least Common Multiple of 5019 and 5025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5019 and 5025 the smallest integer that is 8406825 that is divisible by both numbers.

Least Common Multiple (LCM) of 5019 and 5025 is 8406825.

LCM(5019,5025) = 8406825

LCM of 5019 and 5025

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

LCM of:
and

Least Common Multiple of 5019 and 5025

LCM of 5019 and 5025 is 8406825

Least common multiple can be found by multiplying the highest exponent prime factors of 5019 and 5025. First we will calculate the prime factors of 5019 and 5025.

Prime Factorization of 5019


3 5019
7 1673
239 239
1

Prime factors of 5019 are 3, 7,239. Prime factorization of 5019 in exponential form is:

5019 = 31×71×2391

Prime Factorization of 5025


3 5025
5 1675
5 335
67 67
1

Prime factors of 5025 are 3, 5,67. Prime factorization of 5025 in exponential form is:

5025 = 31×52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5019 and 5025.

LCM(5019,5025) = 31×52×71×671×2391
LCM(5019,5025) = 8406825

Factors of 5019

List of positive integer factors of 5019 that divides 5019 without a remainder.

1, 3, 7, 21, 239, 717, 1673, 5019

Factors of 5025

List of positive integer factors of 5025 that divides 5025 without a remainder.

1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025

Least Common Multiple of 5019 and 5025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5019 and 5025, than apply into the LCM equation.

GCF(5019,5025) = 3
LCM(5019,5025) = ( 5019 × 5025) / 3
LCM(5019,5025) = 25220475 / 3
LCM(5019,5025) = 8406825

Properties of LCM 5019 and 5025

(i) The LCM of 5025 and 5019 is associative

LCM of 5019 and 5025 = LCM of 5025 and 5019

Related Least Common Multiples of 5019

Related Least Common Multiples of 5025

Frequently Asked Questions on LCM of 5019 and 5025

1. What is the LCM of 5019 and 5025?

Answer: LCM of 5019 and 5025 is 8406825.

2. What are the Factors of 5019?

Answer: Factors of 5019 are 1, 3, 7, 21, 239, 717, 1673, 5019. There are 8 integers that are factors of 5019. The greatest factor of 5019 is 5019.

3. What are the Factors of 5025?

Answer: Factors of 5025 are 1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025. There are 12 integers that are factors of 5025. The greatest factor of 5025 is 5025.

4. How to Find the LCM of 5019 and 5025?

Answer:

Least Common Multiple of 5019 and 5025 = 8406825

Step 1: Find the prime factorization of 5019

5019 = 3 x 7 x 239

Step 2: Find the prime factorization of 5025

5025 = 3 x 5 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 = 8406825 = 3 x 5 x 5 x 7 x 67 x 239

Step 4: Therefore, the least common multiple of 5019 and 5025 is 8406825.