Least Common Multiple of 3023 and 3029

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3023 and 3029 the smallest integer that is 9156667 that is divisible by both numbers.

Least Common Multiple (LCM) of 3023 and 3029 is 9156667.

LCM(3023,3029) = 9156667

LCM of 3023 and 3029

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

LCM of:
and

Least Common Multiple of 3023 and 3029

LCM of 3023 and 3029 is 9156667

Least common multiple can be found by multiplying the highest exponent prime factors of 3023 and 3029. First we will calculate the prime factors of 3023 and 3029.

Prime Factorization of 3023


3023 3023
1

Prime factors of 3023 are 3023. Prime factorization of 3023 in exponential form is:

3023 = 30231

Prime Factorization of 3029


13 3029
233 233
1

Prime factors of 3029 are 13,233. Prime factorization of 3029 in exponential form is:

3029 = 131×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 3023 and 3029.

LCM(3023,3029) = 131×2331×30231
LCM(3023,3029) = 9156667

Factors of 3023

List of positive integer factors of 3023 that divides 3023 without a remainder.

1, 3023

Factors of 3029

List of positive integer factors of 3029 that divides 3029 without a remainder.

1, 13, 233, 3029

Least Common Multiple of 3023 and 3029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3023 and 3029, than apply into the LCM equation.

GCF(3023,3029) = 1
LCM(3023,3029) = ( 3023 × 3029) / 1
LCM(3023,3029) = 9156667 / 1
LCM(3023,3029) = 9156667

Properties of LCM 3023 and 3029

(i) The LCM of 3029 and 3023 is associative

LCM of 3023 and 3029 = LCM of 3029 and 3023

Related Least Common Multiples of 3023

Related Least Common Multiples of 3029

Frequently Asked Questions on LCM of 3023 and 3029

1. What is the LCM of 3023 and 3029?

Answer: LCM of 3023 and 3029 is 9156667.

2. What are the Factors of 3023?

Answer: Factors of 3023 are 1, 3023. There are 2 integers that are factors of 3023. The greatest factor of 3023 is 3023.

3. What are the Factors of 3029?

Answer: Factors of 3029 are 1, 13, 233, 3029. There are 4 integers that are factors of 3029. The greatest factor of 3029 is 3029.

4. How to Find the LCM of 3023 and 3029?

Answer:

Least Common Multiple of 3023 and 3029 = 9156667

Step 1: Find the prime factorization of 3023

3023 = 3023

Step 2: Find the prime factorization of 3029

3029 = 13 x 233

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

LCM = 9156667 = 13 x 233 x 3023

Step 4: Therefore, the least common multiple of 3023 and 3029 is 9156667.