Least Common Multiple of 40016 and 40023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40016 and 40023 the smallest integer that is 1601560368 that is divisible by both numbers.

Least Common Multiple (LCM) of 40016 and 40023 is 1601560368.

LCM(40016,40023) = 1601560368

LCM of 40016 and 40023

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

LCM of:
and

Least Common Multiple of 40016 and 40023

LCM of 40016 and 40023 is 1601560368

Least common multiple can be found by multiplying the highest exponent prime factors of 40016 and 40023. First we will calculate the prime factors of 40016 and 40023.

Prime Factorization of 40016


2 40016
2 20008
2 10004
2 5002
41 2501
61 61
1

Prime factors of 40016 are 2, 41,61. Prime factorization of 40016 in exponential form is:

40016 = 24×411×611

Prime Factorization of 40023


3 40023
3 13341
4447 4447
1

Prime factors of 40023 are 3,4447. Prime factorization of 40023 in exponential form is:

40023 = 32×44471

Now multiplying the highest exponent prime factors to calculate the LCM of 40016 and 40023.

LCM(40016,40023) = 24×32×411×611×44471
LCM(40016,40023) = 1601560368

Factors of 40016

List of positive integer factors of 40016 that divides 40016 without a remainder.

1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016

Factors of 40023

List of positive integer factors of 40023 that divides 40023 without a remainder.

1, 3, 9, 4447, 13341, 40023

Least Common Multiple of 40016 and 40023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40016 and 40023, than apply into the LCM equation.

GCF(40016,40023) = 1
LCM(40016,40023) = ( 40016 × 40023) / 1
LCM(40016,40023) = 1601560368 / 1
LCM(40016,40023) = 1601560368

Properties of LCM 40016 and 40023

(i) The LCM of 40023 and 40016 is associative

LCM of 40016 and 40023 = LCM of 40023 and 40016

Related Least Common Multiples of 40016

Related Least Common Multiples of 40023

Frequently Asked Questions on LCM of 40016 and 40023

1. What is the LCM of 40016 and 40023?

Answer: LCM of 40016 and 40023 is 1601560368.

2. What are the Factors of 40016?

Answer: Factors of 40016 are 1, 2, 4, 8, 16, 41, 61, 82, 122, 164, 244, 328, 488, 656, 976, 2501, 5002, 10004, 20008, 40016. There are 20 integers that are factors of 40016. The greatest factor of 40016 is 40016.

3. What are the Factors of 40023?

Answer: Factors of 40023 are 1, 3, 9, 4447, 13341, 40023. There are 6 integers that are factors of 40023. The greatest factor of 40023 is 40023.

4. How to Find the LCM of 40016 and 40023?

Answer:

Least Common Multiple of 40016 and 40023 = 1601560368

Step 1: Find the prime factorization of 40016

40016 = 2 x 2 x 2 x 2 x 41 x 61

Step 2: Find the prime factorization of 40023

40023 = 3 x 3 x 4447

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

LCM = 1601560368 = 2 x 2 x 2 x 2 x 3 x 3 x 41 x 61 x 4447

Step 4: Therefore, the least common multiple of 40016 and 40023 is 1601560368.