Least Common Multiple of 9059 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 9059 and 9063 the smallest integer that is 82101717 that is divisible by both numbers.

Least Common Multiple (LCM) of 9059 and 9063 is 82101717.

LCM(9059,9063) = 82101717

LCM of 9059 and 9063

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

LCM of:
and

Least Common Multiple of 9059 and 9063

LCM of 9059 and 9063 is 82101717

Least common multiple can be found by multiplying the highest exponent prime factors of 9059 and 9063. First we will calculate the prime factors of 9059 and 9063.

Prime Factorization of 9059


9059 9059
1

Prime factors of 9059 are 9059. Prime factorization of 9059 in exponential form is:

9059 = 90591

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 9059 and 9063.

LCM(9059,9063) = 32×191×531×90591
LCM(9059,9063) = 82101717

Factors of 9059

List of positive integer factors of 9059 that divides 9059 without a remainder.

1, 9059

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 9059 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 9059 and 9063, than apply into the LCM equation.

GCF(9059,9063) = 1
LCM(9059,9063) = ( 9059 × 9063) / 1
LCM(9059,9063) = 82101717 / 1
LCM(9059,9063) = 82101717

Properties of LCM 9059 and 9063

(i) The LCM of 9063 and 9059 is associative

LCM of 9059 and 9063 = LCM of 9063 and 9059

Related Least Common Multiples of 9059

Related Least Common Multiples of 9063

Frequently Asked Questions on LCM of 9059 and 9063

1. What is the LCM of 9059 and 9063?

Answer: LCM of 9059 and 9063 is 82101717.

2. What are the Factors of 9059?

Answer: Factors of 9059 are 1, 9059. There are 2 integers that are factors of 9059. The greatest factor of 9059 is 9059.

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 9059 and 9063?

Answer:

Least Common Multiple of 9059 and 9063 = 82101717

Step 1: Find the prime factorization of 9059

9059 = 9059

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 = 82101717 = 3 x 3 x 19 x 53 x 9059

Step 4: Therefore, the least common multiple of 9059 and 9063 is 82101717.