Least Common Multiple of 9037 and 9045

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 9045 the smallest integer that is 81739665 that is divisible by both numbers.

Least Common Multiple (LCM) of 9037 and 9045 is 81739665.

LCM(9037,9045) = 81739665

LCM of 9037 and 9045

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

LCM of:
and

Least Common Multiple of 9037 and 9045

LCM of 9037 and 9045 is 81739665

Least common multiple can be found by multiplying the highest exponent prime factors of 9037 and 9045. First we will calculate the prime factors of 9037 and 9045.

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 9045


3 9045
3 3015
3 1005
5 335
67 67
1

Prime factors of 9045 are 3, 5,67. Prime factorization of 9045 in exponential form is:

9045 = 33×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 9037 and 9045.

LCM(9037,9045) = 33×51×71×671×12911
LCM(9037,9045) = 81739665

Factors of 9037

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

1, 7, 1291, 9037

Factors of 9045

List of positive integer factors of 9045 that divides 9045 without a remainder.

1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045

Least Common Multiple of 9037 and 9045 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 9045, than apply into the LCM equation.

GCF(9037,9045) = 1
LCM(9037,9045) = ( 9037 × 9045) / 1
LCM(9037,9045) = 81739665 / 1
LCM(9037,9045) = 81739665

Properties of LCM 9037 and 9045

(i) The LCM of 9045 and 9037 is associative

LCM of 9037 and 9045 = LCM of 9045 and 9037

Related Least Common Multiples of 9037

Related Least Common Multiples of 9045

Frequently Asked Questions on LCM of 9037 and 9045

1. What is the LCM of 9037 and 9045?

Answer: LCM of 9037 and 9045 is 81739665.

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 9045?

Answer: Factors of 9045 are 1, 3, 5, 9, 15, 27, 45, 67, 135, 201, 335, 603, 1005, 1809, 3015, 9045. There are 16 integers that are factors of 9045. The greatest factor of 9045 is 9045.

4. How to Find the LCM of 9037 and 9045?

Answer:

Least Common Multiple of 9037 and 9045 = 81739665

Step 1: Find the prime factorization of 9037

9037 = 7 x 1291

Step 2: Find the prime factorization of 9045

9045 = 3 x 3 x 3 x 5 x 67

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

LCM = 81739665 = 3 x 3 x 3 x 5 x 7 x 67 x 1291

Step 4: Therefore, the least common multiple of 9037 and 9045 is 81739665.