Least Common Multiple of 40006 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 40006 and 40014 the smallest integer that is 800400042 that is divisible by both numbers.

Least Common Multiple (LCM) of 40006 and 40014 is 800400042.

LCM(40006,40014) = 800400042

LCM of 40006 and 40014

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

LCM of:
and

Least Common Multiple of 40006 and 40014

LCM of 40006 and 40014 is 800400042

Least common multiple can be found by multiplying the highest exponent prime factors of 40006 and 40014. First we will calculate the prime factors of 40006 and 40014.

Prime Factorization of 40006


2 40006
83 20003
241 241
1

Prime factors of 40006 are 2, 83,241. Prime factorization of 40006 in exponential form is:

40006 = 21×831×2411

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 40006 and 40014.

LCM(40006,40014) = 21×34×131×191×831×2411
LCM(40006,40014) = 800400042

Factors of 40006

List of positive integer factors of 40006 that divides 40006 without a remainder.

1, 2, 83, 166, 241, 482, 20003, 40006

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 40006 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 40006 and 40014, than apply into the LCM equation.

GCF(40006,40014) = 2
LCM(40006,40014) = ( 40006 × 40014) / 2
LCM(40006,40014) = 1600800084 / 2
LCM(40006,40014) = 800400042

Properties of LCM 40006 and 40014

(i) The LCM of 40014 and 40006 is associative

LCM of 40006 and 40014 = LCM of 40014 and 40006

Related Least Common Multiples of 40006

Related Least Common Multiples of 40014

Frequently Asked Questions on LCM of 40006 and 40014

1. What is the LCM of 40006 and 40014?

Answer: LCM of 40006 and 40014 is 800400042.

2. What are the Factors of 40006?

Answer: Factors of 40006 are 1, 2, 83, 166, 241, 482, 20003, 40006. There are 8 integers that are factors of 40006. The greatest factor of 40006 is 40006.

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 40006 and 40014?

Answer:

Least Common Multiple of 40006 and 40014 = 800400042

Step 1: Find the prime factorization of 40006

40006 = 2 x 83 x 241

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 = 800400042 = 2 x 3 x 3 x 3 x 3 x 13 x 19 x 83 x 241

Step 4: Therefore, the least common multiple of 40006 and 40014 is 800400042.