Least Common Multiple of 9006 and 9014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9006 and 9014 the smallest integer that is 40590042 that is divisible by both numbers.

Least Common Multiple (LCM) of 9006 and 9014 is 40590042.

LCM(9006,9014) = 40590042

LCM of 9006 and 9014

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

LCM of:
and

Least Common Multiple of 9006 and 9014

LCM of 9006 and 9014 is 40590042

Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9014. First we will calculate the prime factors of 9006 and 9014.

Prime Factorization of 9006


2 9006
3 4503
19 1501
79 79
1

Prime factors of 9006 are 2, 3, 19,79. Prime factorization of 9006 in exponential form is:

9006 = 21×31×191×791

Prime Factorization of 9014


2 9014
4507 4507
1

Prime factors of 9014 are 2,4507. Prime factorization of 9014 in exponential form is:

9014 = 21×45071

Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9014.

LCM(9006,9014) = 21×31×191×791×45071
LCM(9006,9014) = 40590042

Factors of 9006

List of positive integer factors of 9006 that divides 9006 without a remainder.

1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006

Factors of 9014

List of positive integer factors of 9014 that divides 9014 without a remainder.

1, 2, 4507, 9014

Least Common Multiple of 9006 and 9014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9006 and 9014, than apply into the LCM equation.

GCF(9006,9014) = 2
LCM(9006,9014) = ( 9006 × 9014) / 2
LCM(9006,9014) = 81180084 / 2
LCM(9006,9014) = 40590042

Properties of LCM 9006 and 9014

(i) The LCM of 9014 and 9006 is associative

LCM of 9006 and 9014 = LCM of 9014 and 9006

Related Least Common Multiples of 9006

Related Least Common Multiples of 9014

Frequently Asked Questions on LCM of 9006 and 9014

1. What is the LCM of 9006 and 9014?

Answer: LCM of 9006 and 9014 is 40590042.

2. What are the Factors of 9006?

Answer: Factors of 9006 are 1, 2, 3, 6, 19, 38, 57, 79, 114, 158, 237, 474, 1501, 3002, 4503, 9006. There are 16 integers that are factors of 9006. The greatest factor of 9006 is 9006.

3. What are the Factors of 9014?

Answer: Factors of 9014 are 1, 2, 4507, 9014. There are 4 integers that are factors of 9014. The greatest factor of 9014 is 9014.

4. How to Find the LCM of 9006 and 9014?

Answer:

Least Common Multiple of 9006 and 9014 = 40590042

Step 1: Find the prime factorization of 9006

9006 = 2 x 3 x 19 x 79

Step 2: Find the prime factorization of 9014

9014 = 2 x 4507

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

LCM = 40590042 = 2 x 3 x 19 x 79 x 4507

Step 4: Therefore, the least common multiple of 9006 and 9014 is 40590042.