Least Common Multiple of 40009 and 40014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 40009 and 40014 the smallest integer that is 1600920126 that is divisible by both numbers.

Least Common Multiple (LCM) of 40009 and 40014 is 1600920126.

LCM(40009,40014) = 1600920126

LCM of 40009 and 40014

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

LCM of:
and

Least Common Multiple of 40009 and 40014

LCM of 40009 and 40014 is 1600920126

Least common multiple can be found by multiplying the highest exponent prime factors of 40009 and 40014. First we will calculate the prime factors of 40009 and 40014.

Prime Factorization of 40009


40009 40009
1

Prime factors of 40009 are 40009. Prime factorization of 40009 in exponential form is:

40009 = 400091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 40009 and 40014.

LCM(40009,40014) = 21×34×131×191×400091
LCM(40009,40014) = 1600920126

Factors of 40009

List of positive integer factors of 40009 that divides 40009 without a remainder.

1, 40009

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

Least Common Multiple of 40009 and 40014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40009 and 40014, than apply into the LCM equation.

GCF(40009,40014) = 1
LCM(40009,40014) = ( 40009 × 40014) / 1
LCM(40009,40014) = 1600920126 / 1
LCM(40009,40014) = 1600920126

Properties of LCM 40009 and 40014

(i) The LCM of 40014 and 40009 is associative

LCM of 40009 and 40014 = LCM of 40014 and 40009

Related Least Common Multiples of 40009

Related Least Common Multiples of 40014

Frequently Asked Questions on LCM of 40009 and 40014

1. What is the LCM of 40009 and 40014?

Answer: LCM of 40009 and 40014 is 1600920126.

2. What are the Factors of 40009?

Answer: Factors of 40009 are 1, 40009. There are 2 integers that are factors of 40009. The greatest factor of 40009 is 40009.

3. 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.

4. How to Find the LCM of 40009 and 40014?

Answer:

Least Common Multiple of 40009 and 40014 = 1600920126

Step 1: Find the prime factorization of 40009

40009 = 40009

Step 2: Find the prime factorization of 40014

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

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

LCM = 1600920126 = 2 x 3 x 3 x 3 x 3 x 13 x 19 x 40009

Step 4: Therefore, the least common multiple of 40009 and 40014 is 1600920126.