Least Common Multiple of 9034 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 9034 and 9036 the smallest integer that is 40815612 that is divisible by both numbers.

Least Common Multiple (LCM) of 9034 and 9036 is 40815612.

LCM(9034,9036) = 40815612

LCM of 9034 and 9036

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

LCM of:
and

Least Common Multiple of 9034 and 9036

LCM of 9034 and 9036 is 40815612

Least common multiple can be found by multiplying the highest exponent prime factors of 9034 and 9036. First we will calculate the prime factors of 9034 and 9036.

Prime Factorization of 9034


2 9034
4517 4517
1

Prime factors of 9034 are 2,4517. Prime factorization of 9034 in exponential form is:

9034 = 21×45171

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 9034 and 9036.

LCM(9034,9036) = 22×32×2511×45171
LCM(9034,9036) = 40815612

Factors of 9034

List of positive integer factors of 9034 that divides 9034 without a remainder.

1, 2, 4517, 9034

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 9034 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 9034 and 9036, than apply into the LCM equation.

GCF(9034,9036) = 2
LCM(9034,9036) = ( 9034 × 9036) / 2
LCM(9034,9036) = 81631224 / 2
LCM(9034,9036) = 40815612

Properties of LCM 9034 and 9036

(i) The LCM of 9036 and 9034 is associative

LCM of 9034 and 9036 = LCM of 9036 and 9034

Related Least Common Multiples of 9034

Related Least Common Multiples of 9036

Frequently Asked Questions on LCM of 9034 and 9036

1. What is the LCM of 9034 and 9036?

Answer: LCM of 9034 and 9036 is 40815612.

2. What are the Factors of 9034?

Answer: Factors of 9034 are 1, 2, 4517, 9034. There are 4 integers that are factors of 9034. The greatest factor of 9034 is 9034.

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 9034 and 9036?

Answer:

Least Common Multiple of 9034 and 9036 = 40815612

Step 1: Find the prime factorization of 9034

9034 = 2 x 4517

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 = 40815612 = 2 x 2 x 3 x 3 x 251 x 4517

Step 4: Therefore, the least common multiple of 9034 and 9036 is 40815612.