Least Common Multiple of 9037 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 9037 and 9043 the smallest integer that is 81721591 that is divisible by both numbers.

Least Common Multiple (LCM) of 9037 and 9043 is 81721591.

LCM(9037,9043) = 81721591

LCM of 9037 and 9043

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

LCM of:
and

Least Common Multiple of 9037 and 9043

LCM of 9037 and 9043 is 81721591

Least common multiple can be found by multiplying the highest exponent prime factors of 9037 and 9043. First we will calculate the prime factors of 9037 and 9043.

Prime Factorization of 9037


7 9037
1291 1291
1

Prime factors of 9037 are 7,1291. Prime factorization of 9037 in exponential form is:

9037 = 71×12911

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 9037 and 9043.

LCM(9037,9043) = 71×12911×90431
LCM(9037,9043) = 81721591

Factors of 9037

List of positive integer factors of 9037 that divides 9037 without a remainder.

1, 7, 1291, 9037

Factors of 9043

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

1, 9043

Least Common Multiple of 9037 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 9037 and 9043, than apply into the LCM equation.

GCF(9037,9043) = 1
LCM(9037,9043) = ( 9037 × 9043) / 1
LCM(9037,9043) = 81721591 / 1
LCM(9037,9043) = 81721591

Properties of LCM 9037 and 9043

(i) The LCM of 9043 and 9037 is associative

LCM of 9037 and 9043 = LCM of 9043 and 9037

Related Least Common Multiples of 9037

Related Least Common Multiples of 9043

Frequently Asked Questions on LCM of 9037 and 9043

1. What is the LCM of 9037 and 9043?

Answer: LCM of 9037 and 9043 is 81721591.

2. What are the Factors of 9037?

Answer: Factors of 9037 are 1, 7, 1291, 9037. There are 4 integers that are factors of 9037. The greatest factor of 9037 is 9037.

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 9037 and 9043?

Answer:

Least Common Multiple of 9037 and 9043 = 81721591

Step 1: Find the prime factorization of 9037

9037 = 7 x 1291

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 = 81721591 = 7 x 1291 x 9043

Step 4: Therefore, the least common multiple of 9037 and 9043 is 81721591.