Least Common Multiple of 9057 and 9063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9057 and 9063 the smallest integer that is 27361197 that is divisible by both numbers.

Least Common Multiple (LCM) of 9057 and 9063 is 27361197.

LCM(9057,9063) = 27361197

LCM of 9057 and 9063

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

LCM of:
and

Least Common Multiple of 9057 and 9063

LCM of 9057 and 9063 is 27361197

Least common multiple can be found by multiplying the highest exponent prime factors of 9057 and 9063. First we will calculate the prime factors of 9057 and 9063.

Prime Factorization of 9057


3 9057
3019 3019
1

Prime factors of 9057 are 3,3019. Prime factorization of 9057 in exponential form is:

9057 = 31×30191

Prime Factorization of 9063


3 9063
3 3021
19 1007
53 53
1

Prime factors of 9063 are 3, 19,53. Prime factorization of 9063 in exponential form is:

9063 = 32×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9057 and 9063.

LCM(9057,9063) = 32×191×531×30191
LCM(9057,9063) = 27361197

Factors of 9057

List of positive integer factors of 9057 that divides 9057 without a remainder.

1, 3, 3019, 9057

Factors of 9063

List of positive integer factors of 9063 that divides 9063 without a remainder.

1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063

Least Common Multiple of 9057 and 9063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9057 and 9063, than apply into the LCM equation.

GCF(9057,9063) = 3
LCM(9057,9063) = ( 9057 × 9063) / 3
LCM(9057,9063) = 82083591 / 3
LCM(9057,9063) = 27361197

Properties of LCM 9057 and 9063

(i) The LCM of 9063 and 9057 is associative

LCM of 9057 and 9063 = LCM of 9063 and 9057

Related Least Common Multiples of 9057

Related Least Common Multiples of 9063

Frequently Asked Questions on LCM of 9057 and 9063

1. What is the LCM of 9057 and 9063?

Answer: LCM of 9057 and 9063 is 27361197.

2. What are the Factors of 9057?

Answer: Factors of 9057 are 1, 3, 3019, 9057. There are 4 integers that are factors of 9057. The greatest factor of 9057 is 9057.

3. What are the Factors of 9063?

Answer: Factors of 9063 are 1, 3, 9, 19, 53, 57, 159, 171, 477, 1007, 3021, 9063. There are 12 integers that are factors of 9063. The greatest factor of 9063 is 9063.

4. How to Find the LCM of 9057 and 9063?

Answer:

Least Common Multiple of 9057 and 9063 = 27361197

Step 1: Find the prime factorization of 9057

9057 = 3 x 3019

Step 2: Find the prime factorization of 9063

9063 = 3 x 3 x 19 x 53

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

LCM = 27361197 = 3 x 3 x 19 x 53 x 3019

Step 4: Therefore, the least common multiple of 9057 and 9063 is 27361197.