Least Common Multiple of 3002 and 3009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3002 and 3009 the smallest integer that is 9033018 that is divisible by both numbers.

Least Common Multiple (LCM) of 3002 and 3009 is 9033018.

LCM(3002,3009) = 9033018

LCM of 3002 and 3009

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

LCM of:
and

Least Common Multiple of 3002 and 3009

LCM of 3002 and 3009 is 9033018

Least common multiple can be found by multiplying the highest exponent prime factors of 3002 and 3009. First we will calculate the prime factors of 3002 and 3009.

Prime Factorization of 3002


2 3002
19 1501
79 79
1

Prime factors of 3002 are 2, 19,79. Prime factorization of 3002 in exponential form is:

3002 = 21×191×791

Prime Factorization of 3009


3 3009
17 1003
59 59
1

Prime factors of 3009 are 3, 17,59. Prime factorization of 3009 in exponential form is:

3009 = 31×171×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3002 and 3009.

LCM(3002,3009) = 21×31×171×191×591×791
LCM(3002,3009) = 9033018

Factors of 3002

List of positive integer factors of 3002 that divides 3002 without a remainder.

1, 2, 19, 38, 79, 158, 1501, 3002

Factors of 3009

List of positive integer factors of 3009 that divides 3009 without a remainder.

1, 3, 17, 51, 59, 177, 1003, 3009

Least Common Multiple of 3002 and 3009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3002 and 3009, than apply into the LCM equation.

GCF(3002,3009) = 1
LCM(3002,3009) = ( 3002 × 3009) / 1
LCM(3002,3009) = 9033018 / 1
LCM(3002,3009) = 9033018

Properties of LCM 3002 and 3009

(i) The LCM of 3009 and 3002 is associative

LCM of 3002 and 3009 = LCM of 3009 and 3002

Related Least Common Multiples of 3002

Related Least Common Multiples of 3009

Frequently Asked Questions on LCM of 3002 and 3009

1. What is the LCM of 3002 and 3009?

Answer: LCM of 3002 and 3009 is 9033018.

2. What are the Factors of 3002?

Answer: Factors of 3002 are 1, 2, 19, 38, 79, 158, 1501, 3002. There are 8 integers that are factors of 3002. The greatest factor of 3002 is 3002.

3. What are the Factors of 3009?

Answer: Factors of 3009 are 1, 3, 17, 51, 59, 177, 1003, 3009. There are 8 integers that are factors of 3009. The greatest factor of 3009 is 3009.

4. How to Find the LCM of 3002 and 3009?

Answer:

Least Common Multiple of 3002 and 3009 = 9033018

Step 1: Find the prime factorization of 3002

3002 = 2 x 19 x 79

Step 2: Find the prime factorization of 3009

3009 = 3 x 17 x 59

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

LCM = 9033018 = 2 x 3 x 17 x 19 x 59 x 79

Step 4: Therefore, the least common multiple of 3002 and 3009 is 9033018.