Least Common Multiple of 9029 and 9036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9029 and 9036 the smallest integer that is 81586044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9029 and 9036 is 81586044.

LCM(9029,9036) = 81586044

LCM of 9029 and 9036

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

LCM of:
and

Least Common Multiple of 9029 and 9036

LCM of 9029 and 9036 is 81586044

Least common multiple can be found by multiplying the highest exponent prime factors of 9029 and 9036. First we will calculate the prime factors of 9029 and 9036.

Prime Factorization of 9029


9029 9029
1

Prime factors of 9029 are 9029. Prime factorization of 9029 in exponential form is:

9029 = 90291

Prime Factorization of 9036


2 9036
2 4518
3 2259
3 753
251 251
1

Prime factors of 9036 are 2, 3,251. Prime factorization of 9036 in exponential form is:

9036 = 22×32×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 9029 and 9036.

LCM(9029,9036) = 22×32×2511×90291
LCM(9029,9036) = 81586044

Factors of 9029

List of positive integer factors of 9029 that divides 9029 without a remainder.

1, 9029

Factors of 9036

List of positive integer factors of 9036 that divides 9036 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036

Least Common Multiple of 9029 and 9036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9029 and 9036, than apply into the LCM equation.

GCF(9029,9036) = 1
LCM(9029,9036) = ( 9029 × 9036) / 1
LCM(9029,9036) = 81586044 / 1
LCM(9029,9036) = 81586044

Properties of LCM 9029 and 9036

(i) The LCM of 9036 and 9029 is associative

LCM of 9029 and 9036 = LCM of 9036 and 9029

Related Least Common Multiples of 9029

Related Least Common Multiples of 9036

Frequently Asked Questions on LCM of 9029 and 9036

1. What is the LCM of 9029 and 9036?

Answer: LCM of 9029 and 9036 is 81586044.

2. What are the Factors of 9029?

Answer: Factors of 9029 are 1, 9029. There are 2 integers that are factors of 9029. The greatest factor of 9029 is 9029.

3. What are the Factors of 9036?

Answer: Factors of 9036 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 251, 502, 753, 1004, 1506, 2259, 3012, 4518, 9036. There are 18 integers that are factors of 9036. The greatest factor of 9036 is 9036.

4. How to Find the LCM of 9029 and 9036?

Answer:

Least Common Multiple of 9029 and 9036 = 81586044

Step 1: Find the prime factorization of 9029

9029 = 9029

Step 2: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

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

LCM = 81586044 = 2 x 2 x 3 x 3 x 251 x 9029

Step 4: Therefore, the least common multiple of 9029 and 9036 is 81586044.