Least Common Multiple of 3009 and 3014

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3009 and 3014 the smallest integer that is 9069126 that is divisible by both numbers.

Least Common Multiple (LCM) of 3009 and 3014 is 9069126.

LCM(3009,3014) = 9069126

LCM of 3009 and 3014

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

LCM of:
and

Least Common Multiple of 3009 and 3014

LCM of 3009 and 3014 is 9069126

Least common multiple can be found by multiplying the highest exponent prime factors of 3009 and 3014. First we will calculate the prime factors of 3009 and 3014.

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

Prime Factorization of 3014


2 3014
11 1507
137 137
1

Prime factors of 3014 are 2, 11,137. Prime factorization of 3014 in exponential form is:

3014 = 21×111×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 3009 and 3014.

LCM(3009,3014) = 21×31×111×171×591×1371
LCM(3009,3014) = 9069126

Factors of 3009

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

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

Factors of 3014

List of positive integer factors of 3014 that divides 3014 without a remainder.

1, 2, 11, 22, 137, 274, 1507, 3014

Least Common Multiple of 3009 and 3014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3009 and 3014, than apply into the LCM equation.

GCF(3009,3014) = 1
LCM(3009,3014) = ( 3009 × 3014) / 1
LCM(3009,3014) = 9069126 / 1
LCM(3009,3014) = 9069126

Properties of LCM 3009 and 3014

(i) The LCM of 3014 and 3009 is associative

LCM of 3009 and 3014 = LCM of 3014 and 3009

Related Least Common Multiples of 3009

Related Least Common Multiples of 3014

Frequently Asked Questions on LCM of 3009 and 3014

1. What is the LCM of 3009 and 3014?

Answer: LCM of 3009 and 3014 is 9069126.

2. 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.

3. What are the Factors of 3014?

Answer: Factors of 3014 are 1, 2, 11, 22, 137, 274, 1507, 3014. There are 8 integers that are factors of 3014. The greatest factor of 3014 is 3014.

4. How to Find the LCM of 3009 and 3014?

Answer:

Least Common Multiple of 3009 and 3014 = 9069126

Step 1: Find the prime factorization of 3009

3009 = 3 x 17 x 59

Step 2: Find the prime factorization of 3014

3014 = 2 x 11 x 137

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

LCM = 9069126 = 2 x 3 x 11 x 17 x 59 x 137

Step 4: Therefore, the least common multiple of 3009 and 3014 is 9069126.