Least Common Multiple of 40014 and 40018

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 40018 the smallest integer that is 800640126 that is divisible by both numbers.

Least Common Multiple (LCM) of 40014 and 40018 is 800640126.

LCM(40014,40018) = 800640126

LCM of 40014 and 40018

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

LCM of:
and

Least Common Multiple of 40014 and 40018

LCM of 40014 and 40018 is 800640126

Least common multiple can be found by multiplying the highest exponent prime factors of 40014 and 40018. First we will calculate the prime factors of 40014 and 40018.

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 40018


2 40018
11 20009
17 1819
107 107
1

Prime factors of 40018 are 2, 11, 17,107. Prime factorization of 40018 in exponential form is:

40018 = 21×111×171×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 40014 and 40018.

LCM(40014,40018) = 21×34×111×131×171×191×1071
LCM(40014,40018) = 800640126

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 40018

List of positive integer factors of 40018 that divides 40018 without a remainder.

1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009, 40018

Least Common Multiple of 40014 and 40018 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 40018, than apply into the LCM equation.

GCF(40014,40018) = 2
LCM(40014,40018) = ( 40014 × 40018) / 2
LCM(40014,40018) = 1601280252 / 2
LCM(40014,40018) = 800640126

Properties of LCM 40014 and 40018

(i) The LCM of 40018 and 40014 is associative

LCM of 40014 and 40018 = LCM of 40018 and 40014

Related Least Common Multiples of 40014

Related Least Common Multiples of 40018

Frequently Asked Questions on LCM of 40014 and 40018

1. What is the LCM of 40014 and 40018?

Answer: LCM of 40014 and 40018 is 800640126.

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 40018?

Answer: Factors of 40018 are 1, 2, 11, 17, 22, 34, 107, 187, 214, 374, 1177, 1819, 2354, 3638, 20009, 40018. There are 16 integers that are factors of 40018. The greatest factor of 40018 is 40018.

4. How to Find the LCM of 40014 and 40018?

Answer:

Least Common Multiple of 40014 and 40018 = 800640126

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 40018

40018 = 2 x 11 x 17 x 107

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

LCM = 800640126 = 2 x 3 x 3 x 3 x 3 x 11 x 13 x 17 x 19 x 107

Step 4: Therefore, the least common multiple of 40014 and 40018 is 800640126.