Least Common Multiple of 9002 and 9009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9002 and 9009 the smallest integer that is 11585574 that is divisible by both numbers.

Least Common Multiple (LCM) of 9002 and 9009 is 11585574.

LCM(9002,9009) = 11585574

LCM of 9002 and 9009

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

LCM of:
and

Least Common Multiple of 9002 and 9009

LCM of 9002 and 9009 is 11585574

Least common multiple can be found by multiplying the highest exponent prime factors of 9002 and 9009. First we will calculate the prime factors of 9002 and 9009.

Prime Factorization of 9002


2 9002
7 4501
643 643
1

Prime factors of 9002 are 2, 7,643. Prime factorization of 9002 in exponential form is:

9002 = 21×71×6431

Prime Factorization of 9009


3 9009
3 3003
7 1001
11 143
13 13
1

Prime factors of 9009 are 3, 7, 11,13. Prime factorization of 9009 in exponential form is:

9009 = 32×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 9002 and 9009.

LCM(9002,9009) = 21×32×71×111×131×6431
LCM(9002,9009) = 11585574

Factors of 9002

List of positive integer factors of 9002 that divides 9002 without a remainder.

1, 2, 7, 14, 643, 1286, 4501, 9002

Factors of 9009

List of positive integer factors of 9009 that divides 9009 without a remainder.

1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009

Least Common Multiple of 9002 and 9009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9002 and 9009, than apply into the LCM equation.

GCF(9002,9009) = 7
LCM(9002,9009) = ( 9002 × 9009) / 7
LCM(9002,9009) = 81099018 / 7
LCM(9002,9009) = 11585574

Properties of LCM 9002 and 9009

(i) The LCM of 9009 and 9002 is associative

LCM of 9002 and 9009 = LCM of 9009 and 9002

Related Least Common Multiples of 9002

Related Least Common Multiples of 9009

Frequently Asked Questions on LCM of 9002 and 9009

1. What is the LCM of 9002 and 9009?

Answer: LCM of 9002 and 9009 is 11585574.

2. What are the Factors of 9002?

Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.

3. What are the Factors of 9009?

Answer: Factors of 9009 are 1, 3, 7, 9, 11, 13, 21, 33, 39, 63, 77, 91, 99, 117, 143, 231, 273, 429, 693, 819, 1001, 1287, 3003, 9009. There are 24 integers that are factors of 9009. The greatest factor of 9009 is 9009.

4. How to Find the LCM of 9002 and 9009?

Answer:

Least Common Multiple of 9002 and 9009 = 11585574

Step 1: Find the prime factorization of 9002

9002 = 2 x 7 x 643

Step 2: Find the prime factorization of 9009

9009 = 3 x 3 x 7 x 11 x 13

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

LCM = 11585574 = 2 x 3 x 3 x 7 x 11 x 13 x 643

Step 4: Therefore, the least common multiple of 9002 and 9009 is 11585574.