Least Common Multiple of 40017 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 40017 and 40023 the smallest integer that is 533866797 that is divisible by both numbers.

Least Common Multiple (LCM) of 40017 and 40023 is 533866797.

LCM(40017,40023) = 533866797

LCM of 40017 and 40023

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

LCM of:
and

Least Common Multiple of 40017 and 40023

LCM of 40017 and 40023 is 533866797

Least common multiple can be found by multiplying the highest exponent prime factors of 40017 and 40023. First we will calculate the prime factors of 40017 and 40023.

Prime Factorization of 40017


3 40017
13339 13339
1

Prime factors of 40017 are 3,13339. Prime factorization of 40017 in exponential form is:

40017 = 31×133391

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 40017 and 40023.

LCM(40017,40023) = 32×44471×133391
LCM(40017,40023) = 533866797

Factors of 40017

List of positive integer factors of 40017 that divides 40017 without a remainder.

1, 3, 13339, 40017

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 40017 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 40017 and 40023, than apply into the LCM equation.

GCF(40017,40023) = 3
LCM(40017,40023) = ( 40017 × 40023) / 3
LCM(40017,40023) = 1601600391 / 3
LCM(40017,40023) = 533866797

Properties of LCM 40017 and 40023

(i) The LCM of 40023 and 40017 is associative

LCM of 40017 and 40023 = LCM of 40023 and 40017

Related Least Common Multiples of 40017

Related Least Common Multiples of 40023

Frequently Asked Questions on LCM of 40017 and 40023

1. What is the LCM of 40017 and 40023?

Answer: LCM of 40017 and 40023 is 533866797.

2. What are the Factors of 40017?

Answer: Factors of 40017 are 1, 3, 13339, 40017. There are 4 integers that are factors of 40017. The greatest factor of 40017 is 40017.

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 40017 and 40023?

Answer:

Least Common Multiple of 40017 and 40023 = 533866797

Step 1: Find the prime factorization of 40017

40017 = 3 x 13339

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 = 533866797 = 3 x 3 x 4447 x 13339

Step 4: Therefore, the least common multiple of 40017 and 40023 is 533866797.