Least Common Multiple of 40017 and 40022

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 40022 the smallest integer that is 1601560374 that is divisible by both numbers.

Least Common Multiple (LCM) of 40017 and 40022 is 1601560374.

LCM(40017,40022) = 1601560374

LCM of 40017 and 40022

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

LCM of:
and

Least Common Multiple of 40017 and 40022

LCM of 40017 and 40022 is 1601560374

Least common multiple can be found by multiplying the highest exponent prime factors of 40017 and 40022. First we will calculate the prime factors of 40017 and 40022.

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 40022


2 40022
20011 20011
1

Prime factors of 40022 are 2,20011. Prime factorization of 40022 in exponential form is:

40022 = 21×200111

Now multiplying the highest exponent prime factors to calculate the LCM of 40017 and 40022.

LCM(40017,40022) = 21×31×133391×200111
LCM(40017,40022) = 1601560374

Factors of 40017

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

1, 3, 13339, 40017

Factors of 40022

List of positive integer factors of 40022 that divides 40022 without a remainder.

1, 2, 20011, 40022

Least Common Multiple of 40017 and 40022 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 40022, than apply into the LCM equation.

GCF(40017,40022) = 1
LCM(40017,40022) = ( 40017 × 40022) / 1
LCM(40017,40022) = 1601560374 / 1
LCM(40017,40022) = 1601560374

Properties of LCM 40017 and 40022

(i) The LCM of 40022 and 40017 is associative

LCM of 40017 and 40022 = LCM of 40022 and 40017

Related Least Common Multiples of 40017

Related Least Common Multiples of 40022

Frequently Asked Questions on LCM of 40017 and 40022

1. What is the LCM of 40017 and 40022?

Answer: LCM of 40017 and 40022 is 1601560374.

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 40022?

Answer: Factors of 40022 are 1, 2, 20011, 40022. There are 4 integers that are factors of 40022. The greatest factor of 40022 is 40022.

4. How to Find the LCM of 40017 and 40022?

Answer:

Least Common Multiple of 40017 and 40022 = 1601560374

Step 1: Find the prime factorization of 40017

40017 = 3 x 13339

Step 2: Find the prime factorization of 40022

40022 = 2 x 20011

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

LCM = 1601560374 = 2 x 3 x 13339 x 20011

Step 4: Therefore, the least common multiple of 40017 and 40022 is 1601560374.