Least Common Multiple of 9033 and 9037

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9033 and 9037 the smallest integer that is 81631221 that is divisible by both numbers.

Least Common Multiple (LCM) of 9033 and 9037 is 81631221.

LCM(9033,9037) = 81631221

LCM of 9033 and 9037

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

LCM of:
and

Least Common Multiple of 9033 and 9037

LCM of 9033 and 9037 is 81631221

Least common multiple can be found by multiplying the highest exponent prime factors of 9033 and 9037. First we will calculate the prime factors of 9033 and 9037.

Prime Factorization of 9033


3 9033
3011 3011
1

Prime factors of 9033 are 3,3011. Prime factorization of 9033 in exponential form is:

9033 = 31×30111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9033 and 9037.

LCM(9033,9037) = 31×71×12911×30111
LCM(9033,9037) = 81631221

Factors of 9033

List of positive integer factors of 9033 that divides 9033 without a remainder.

1, 3, 3011, 9033

Factors of 9037

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

1, 7, 1291, 9037

Least Common Multiple of 9033 and 9037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9033 and 9037, than apply into the LCM equation.

GCF(9033,9037) = 1
LCM(9033,9037) = ( 9033 × 9037) / 1
LCM(9033,9037) = 81631221 / 1
LCM(9033,9037) = 81631221

Properties of LCM 9033 and 9037

(i) The LCM of 9037 and 9033 is associative

LCM of 9033 and 9037 = LCM of 9037 and 9033

Related Least Common Multiples of 9033

Related Least Common Multiples of 9037

Frequently Asked Questions on LCM of 9033 and 9037

1. What is the LCM of 9033 and 9037?

Answer: LCM of 9033 and 9037 is 81631221.

2. What are the Factors of 9033?

Answer: Factors of 9033 are 1, 3, 3011, 9033. There are 4 integers that are factors of 9033. The greatest factor of 9033 is 9033.

3. 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.

4. How to Find the LCM of 9033 and 9037?

Answer:

Least Common Multiple of 9033 and 9037 = 81631221

Step 1: Find the prime factorization of 9033

9033 = 3 x 3011

Step 2: Find the prime factorization of 9037

9037 = 7 x 1291

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

LCM = 81631221 = 3 x 7 x 1291 x 3011

Step 4: Therefore, the least common multiple of 9033 and 9037 is 81631221.