Least Common Multiple of 40014 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 40014 and 40020 the smallest integer that is 266893380 that is divisible by both numbers.

Least Common Multiple (LCM) of 40014 and 40020 is 266893380.

LCM(40014,40020) = 266893380

LCM of 40014 and 40020

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

LCM of:
and

Least Common Multiple of 40014 and 40020

LCM of 40014 and 40020 is 266893380

Least common multiple can be found by multiplying the highest exponent prime factors of 40014 and 40020. First we will calculate the prime factors of 40014 and 40020.

Prime Factorization of 40014


2 40014
3 20007
3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 40014 are 2, 3, 13,19. Prime factorization of 40014 in exponential form is:

40014 = 21×34×131×191

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 40014 and 40020.

LCM(40014,40020) = 22×34×51×131×191×231×291
LCM(40014,40020) = 266893380

Factors of 40014

List of positive integer factors of 40014 that divides 40014 without a remainder.

1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007, 40014

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 40014 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 40014 and 40020, than apply into the LCM equation.

GCF(40014,40020) = 6
LCM(40014,40020) = ( 40014 × 40020) / 6
LCM(40014,40020) = 1601360280 / 6
LCM(40014,40020) = 266893380

Properties of LCM 40014 and 40020

(i) The LCM of 40020 and 40014 is associative

LCM of 40014 and 40020 = LCM of 40020 and 40014

Related Least Common Multiples of 40014

Related Least Common Multiples of 40020

Frequently Asked Questions on LCM of 40014 and 40020

1. What is the LCM of 40014 and 40020?

Answer: LCM of 40014 and 40020 is 266893380.

2. What are the Factors of 40014?

Answer: Factors of 40014 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 81, 114, 117, 162, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1053, 1482, 1539, 2106, 2223, 3078, 4446, 6669, 13338, 20007, 40014. There are 40 integers that are factors of 40014. The greatest factor of 40014 is 40014.

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 40014 and 40020?

Answer:

Least Common Multiple of 40014 and 40020 = 266893380

Step 1: Find the prime factorization of 40014

40014 = 2 x 3 x 3 x 3 x 3 x 13 x 19

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 = 266893380 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 13 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 40014 and 40020 is 266893380.