Least Common Multiple of 4019 and 4023

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 4023 the smallest integer that is 16168437 that is divisible by both numbers.

Least Common Multiple (LCM) of 4019 and 4023 is 16168437.

LCM(4019,4023) = 16168437

LCM of 4019 and 4023

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

LCM of:
and

Least Common Multiple of 4019 and 4023

LCM of 4019 and 4023 is 16168437

Least common multiple can be found by multiplying the highest exponent prime factors of 4019 and 4023. First we will calculate the prime factors of 4019 and 4023.

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 4023


3 4023
3 1341
3 447
149 149
1

Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:

4023 = 33×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 4019 and 4023.

LCM(4019,4023) = 33×1491×40191
LCM(4019,4023) = 16168437

Factors of 4019

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

1, 4019

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1, 3, 9, 27, 149, 447, 1341, 4023

Least Common Multiple of 4019 and 4023 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 4023, than apply into the LCM equation.

GCF(4019,4023) = 1
LCM(4019,4023) = ( 4019 × 4023) / 1
LCM(4019,4023) = 16168437 / 1
LCM(4019,4023) = 16168437

Properties of LCM 4019 and 4023

(i) The LCM of 4023 and 4019 is associative

LCM of 4019 and 4023 = LCM of 4023 and 4019

Related Least Common Multiples of 4019

Related Least Common Multiples of 4023

Frequently Asked Questions on LCM of 4019 and 4023

1. What is the LCM of 4019 and 4023?

Answer: LCM of 4019 and 4023 is 16168437.

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 4023?

Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.

4. How to Find the LCM of 4019 and 4023?

Answer:

Least Common Multiple of 4019 and 4023 = 16168437

Step 1: Find the prime factorization of 4019

4019 = 4019

Step 2: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

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

LCM = 16168437 = 3 x 3 x 3 x 149 x 4019

Step 4: Therefore, the least common multiple of 4019 and 4023 is 16168437.