Least Common Multiple of 40019 and 40024

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40019 and 40024 the smallest integer that is 1601720456 that is divisible by both numbers.

Least Common Multiple (LCM) of 40019 and 40024 is 1601720456.

LCM(40019,40024) = 1601720456

LCM of 40019 and 40024

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

LCM of:
and

Least Common Multiple of 40019 and 40024

LCM of 40019 and 40024 is 1601720456

Least common multiple can be found by multiplying the highest exponent prime factors of 40019 and 40024. First we will calculate the prime factors of 40019 and 40024.

Prime Factorization of 40019


7 40019
5717 5717
1

Prime factors of 40019 are 7,5717. Prime factorization of 40019 in exponential form is:

40019 = 71×57171

Prime Factorization of 40024


2 40024
2 20012
2 10006
5003 5003
1

Prime factors of 40024 are 2,5003. Prime factorization of 40024 in exponential form is:

40024 = 23×50031

Now multiplying the highest exponent prime factors to calculate the LCM of 40019 and 40024.

LCM(40019,40024) = 23×71×50031×57171
LCM(40019,40024) = 1601720456

Factors of 40019

List of positive integer factors of 40019 that divides 40019 without a remainder.

1, 7, 5717, 40019

Factors of 40024

List of positive integer factors of 40024 that divides 40024 without a remainder.

1, 2, 4, 8, 5003, 10006, 20012, 40024

Least Common Multiple of 40019 and 40024 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40019 and 40024, than apply into the LCM equation.

GCF(40019,40024) = 1
LCM(40019,40024) = ( 40019 × 40024) / 1
LCM(40019,40024) = 1601720456 / 1
LCM(40019,40024) = 1601720456

Properties of LCM 40019 and 40024

(i) The LCM of 40024 and 40019 is associative

LCM of 40019 and 40024 = LCM of 40024 and 40019

Related Least Common Multiples of 40019

Related Least Common Multiples of 40024

Frequently Asked Questions on LCM of 40019 and 40024

1. What is the LCM of 40019 and 40024?

Answer: LCM of 40019 and 40024 is 1601720456.

2. What are the Factors of 40019?

Answer: Factors of 40019 are 1, 7, 5717, 40019. There are 4 integers that are factors of 40019. The greatest factor of 40019 is 40019.

3. What are the Factors of 40024?

Answer: Factors of 40024 are 1, 2, 4, 8, 5003, 10006, 20012, 40024. There are 8 integers that are factors of 40024. The greatest factor of 40024 is 40024.

4. How to Find the LCM of 40019 and 40024?

Answer:

Least Common Multiple of 40019 and 40024 = 1601720456

Step 1: Find the prime factorization of 40019

40019 = 7 x 5717

Step 2: Find the prime factorization of 40024

40024 = 2 x 2 x 2 x 5003

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

LCM = 1601720456 = 2 x 2 x 2 x 7 x 5003 x 5717

Step 4: Therefore, the least common multiple of 40019 and 40024 is 1601720456.