Least Common Multiple of 40012 and 40020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40012 and 40020 the smallest integer that is 400320060 that is divisible by both numbers.

Least Common Multiple (LCM) of 40012 and 40020 is 400320060.

LCM(40012,40020) = 400320060

LCM of 40012 and 40020

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

LCM of:
and

Least Common Multiple of 40012 and 40020

LCM of 40012 and 40020 is 400320060

Least common multiple can be found by multiplying the highest exponent prime factors of 40012 and 40020. First we will calculate the prime factors of 40012 and 40020.

Prime Factorization of 40012


2 40012
2 20006
7 10003
1429 1429
1

Prime factors of 40012 are 2, 7,1429. Prime factorization of 40012 in exponential form is:

40012 = 22×71×14291

Prime Factorization of 40020


2 40020
2 20010
3 10005
5 3335
23 667
29 29
1

Prime factors of 40020 are 2, 3, 5, 23,29. Prime factorization of 40020 in exponential form is:

40020 = 22×31×51×231×291

Now multiplying the highest exponent prime factors to calculate the LCM of 40012 and 40020.

LCM(40012,40020) = 22×31×51×71×231×291×14291
LCM(40012,40020) = 400320060

Factors of 40012

List of positive integer factors of 40012 that divides 40012 without a remainder.

1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012

Factors of 40020

List of positive integer factors of 40020 that divides 40020 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010, 40020

Least Common Multiple of 40012 and 40020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40012 and 40020, than apply into the LCM equation.

GCF(40012,40020) = 4
LCM(40012,40020) = ( 40012 × 40020) / 4
LCM(40012,40020) = 1601280240 / 4
LCM(40012,40020) = 400320060

Properties of LCM 40012 and 40020

(i) The LCM of 40020 and 40012 is associative

LCM of 40012 and 40020 = LCM of 40020 and 40012

Related Least Common Multiples of 40012

Related Least Common Multiples of 40020

Frequently Asked Questions on LCM of 40012 and 40020

1. What is the LCM of 40012 and 40020?

Answer: LCM of 40012 and 40020 is 400320060.

2. What are the Factors of 40012?

Answer: Factors of 40012 are 1, 2, 4, 7, 14, 28, 1429, 2858, 5716, 10003, 20006, 40012. There are 12 integers that are factors of 40012. The greatest factor of 40012 is 40012.

3. What are the Factors of 40020?

Answer: Factors of 40020 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010, 40020. There are 48 integers that are factors of 40020. The greatest factor of 40020 is 40020.

4. How to Find the LCM of 40012 and 40020?

Answer:

Least Common Multiple of 40012 and 40020 = 400320060

Step 1: Find the prime factorization of 40012

40012 = 2 x 2 x 7 x 1429

Step 2: Find the prime factorization of 40020

40020 = 2 x 2 x 3 x 5 x 23 x 29

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

LCM = 400320060 = 2 x 2 x 3 x 5 x 7 x 23 x 29 x 1429

Step 4: Therefore, the least common multiple of 40012 and 40020 is 400320060.