Least Common Multiple of 4019 and 4025

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4019 and 4025 the smallest integer that is 16176475 that is divisible by both numbers.

Least Common Multiple (LCM) of 4019 and 4025 is 16176475.

LCM(4019,4025) = 16176475

LCM of 4019 and 4025

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

LCM of:
and

Least Common Multiple of 4019 and 4025

LCM of 4019 and 4025 is 16176475

Least common multiple can be found by multiplying the highest exponent prime factors of 4019 and 4025. First we will calculate the prime factors of 4019 and 4025.

Prime Factorization of 4019


4019 4019
1

Prime factors of 4019 are 4019. Prime factorization of 4019 in exponential form is:

4019 = 40191

Prime Factorization of 4025


5 4025
5 805
7 161
23 23
1

Prime factors of 4025 are 5, 7,23. Prime factorization of 4025 in exponential form is:

4025 = 52×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 4019 and 4025.

LCM(4019,4025) = 52×71×231×40191
LCM(4019,4025) = 16176475

Factors of 4019

List of positive integer factors of 4019 that divides 4019 without a remainder.

1, 4019

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025

Least Common Multiple of 4019 and 4025 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4019 and 4025, than apply into the LCM equation.

GCF(4019,4025) = 1
LCM(4019,4025) = ( 4019 × 4025) / 1
LCM(4019,4025) = 16176475 / 1
LCM(4019,4025) = 16176475

Properties of LCM 4019 and 4025

(i) The LCM of 4025 and 4019 is associative

LCM of 4019 and 4025 = LCM of 4025 and 4019

Related Least Common Multiples of 4019

Related Least Common Multiples of 4025

Frequently Asked Questions on LCM of 4019 and 4025

1. What is the LCM of 4019 and 4025?

Answer: LCM of 4019 and 4025 is 16176475.

2. What are the Factors of 4019?

Answer: Factors of 4019 are 1, 4019. There are 2 integers that are factors of 4019. The greatest factor of 4019 is 4019.

3. What are the Factors of 4025?

Answer: Factors of 4025 are 1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025. There are 12 integers that are factors of 4025. The greatest factor of 4025 is 4025.

4. How to Find the LCM of 4019 and 4025?

Answer:

Least Common Multiple of 4019 and 4025 = 16176475

Step 1: Find the prime factorization of 4019

4019 = 4019

Step 2: Find the prime factorization of 4025

4025 = 5 x 5 x 7 x 23

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

LCM = 16176475 = 5 x 5 x 7 x 23 x 4019

Step 4: Therefore, the least common multiple of 4019 and 4025 is 16176475.