Least Common Multiple of 9006 and 9012

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 9012 the smallest integer that is 13527012 that is divisible by both numbers.

Least Common Multiple (LCM) of 9006 and 9012 is 13527012.

LCM(9006,9012) = 13527012

LCM of 9006 and 9012

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

LCM of:
and

Least Common Multiple of 9006 and 9012

LCM of 9006 and 9012 is 13527012

Least common multiple can be found by multiplying the highest exponent prime factors of 9006 and 9012. First we will calculate the prime factors of 9006 and 9012.

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 9012


2 9012
2 4506
3 2253
751 751
1

Prime factors of 9012 are 2, 3,751. Prime factorization of 9012 in exponential form is:

9012 = 22×31×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 9006 and 9012.

LCM(9006,9012) = 22×31×191×791×7511
LCM(9006,9012) = 13527012

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 9012

List of positive integer factors of 9012 that divides 9012 without a remainder.

1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012

Least Common Multiple of 9006 and 9012 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 9012, than apply into the LCM equation.

GCF(9006,9012) = 6
LCM(9006,9012) = ( 9006 × 9012) / 6
LCM(9006,9012) = 81162072 / 6
LCM(9006,9012) = 13527012

Properties of LCM 9006 and 9012

(i) The LCM of 9012 and 9006 is associative

LCM of 9006 and 9012 = LCM of 9012 and 9006

Related Least Common Multiples of 9006

Related Least Common Multiples of 9012

Frequently Asked Questions on LCM of 9006 and 9012

1. What is the LCM of 9006 and 9012?

Answer: LCM of 9006 and 9012 is 13527012.

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 9012?

Answer: Factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012. There are 12 integers that are factors of 9012. The greatest factor of 9012 is 9012.

4. How to Find the LCM of 9006 and 9012?

Answer:

Least Common Multiple of 9006 and 9012 = 13527012

Step 1: Find the prime factorization of 9006

9006 = 2 x 3 x 19 x 79

Step 2: Find the prime factorization of 9012

9012 = 2 x 2 x 3 x 751

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

LCM = 13527012 = 2 x 2 x 3 x 19 x 79 x 751

Step 4: Therefore, the least common multiple of 9006 and 9012 is 13527012.