Least Common Multiple of 9036 and 9043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9036 and 9043 the smallest integer that is 81712548 that is divisible by both numbers.

Least Common Multiple (LCM) of 9036 and 9043 is 81712548.

LCM(9036,9043) = 81712548

LCM of 9036 and 9043

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

LCM of:
and

Least Common Multiple of 9036 and 9043

LCM of 9036 and 9043 is 81712548

Least common multiple can be found by multiplying the highest exponent prime factors of 9036 and 9043. First we will calculate the prime factors of 9036 and 9043.

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

Prime Factorization of 9043


9043 9043
1

Prime factors of 9043 are 9043. Prime factorization of 9043 in exponential form is:

9043 = 90431

Now multiplying the highest exponent prime factors to calculate the LCM of 9036 and 9043.

LCM(9036,9043) = 22×32×2511×90431
LCM(9036,9043) = 81712548

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

Factors of 9043

List of positive integer factors of 9043 that divides 9043 without a remainder.

1, 9043

Least Common Multiple of 9036 and 9043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9036 and 9043, than apply into the LCM equation.

GCF(9036,9043) = 1
LCM(9036,9043) = ( 9036 × 9043) / 1
LCM(9036,9043) = 81712548 / 1
LCM(9036,9043) = 81712548

Properties of LCM 9036 and 9043

(i) The LCM of 9043 and 9036 is associative

LCM of 9036 and 9043 = LCM of 9043 and 9036

Related Least Common Multiples of 9036

Related Least Common Multiples of 9043

Frequently Asked Questions on LCM of 9036 and 9043

1. What is the LCM of 9036 and 9043?

Answer: LCM of 9036 and 9043 is 81712548.

2. 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.

3. What are the Factors of 9043?

Answer: Factors of 9043 are 1, 9043. There are 2 integers that are factors of 9043. The greatest factor of 9043 is 9043.

4. How to Find the LCM of 9036 and 9043?

Answer:

Least Common Multiple of 9036 and 9043 = 81712548

Step 1: Find the prime factorization of 9036

9036 = 2 x 2 x 3 x 3 x 251

Step 2: Find the prime factorization of 9043

9043 = 9043

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

LCM = 81712548 = 2 x 2 x 3 x 3 x 251 x 9043

Step 4: Therefore, the least common multiple of 9036 and 9043 is 81712548.