Least Common Multiple of 9053 and 9057

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9053 and 9057 the smallest integer that is 81993021 that is divisible by both numbers.

Least Common Multiple (LCM) of 9053 and 9057 is 81993021.

LCM(9053,9057) = 81993021

LCM of 9053 and 9057

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

LCM of:
and

Least Common Multiple of 9053 and 9057

LCM of 9053 and 9057 is 81993021

Least common multiple can be found by multiplying the highest exponent prime factors of 9053 and 9057. First we will calculate the prime factors of 9053 and 9057.

Prime Factorization of 9053


11 9053
823 823
1

Prime factors of 9053 are 11,823. Prime factorization of 9053 in exponential form is:

9053 = 111×8231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9053 and 9057.

LCM(9053,9057) = 31×111×8231×30191
LCM(9053,9057) = 81993021

Factors of 9053

List of positive integer factors of 9053 that divides 9053 without a remainder.

1, 11, 823, 9053

Factors of 9057

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

1, 3, 3019, 9057

Least Common Multiple of 9053 and 9057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9053 and 9057, than apply into the LCM equation.

GCF(9053,9057) = 1
LCM(9053,9057) = ( 9053 × 9057) / 1
LCM(9053,9057) = 81993021 / 1
LCM(9053,9057) = 81993021

Properties of LCM 9053 and 9057

(i) The LCM of 9057 and 9053 is associative

LCM of 9053 and 9057 = LCM of 9057 and 9053

Related Least Common Multiples of 9053

Related Least Common Multiples of 9057

Frequently Asked Questions on LCM of 9053 and 9057

1. What is the LCM of 9053 and 9057?

Answer: LCM of 9053 and 9057 is 81993021.

2. What are the Factors of 9053?

Answer: Factors of 9053 are 1, 11, 823, 9053. There are 4 integers that are factors of 9053. The greatest factor of 9053 is 9053.

3. 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.

4. How to Find the LCM of 9053 and 9057?

Answer:

Least Common Multiple of 9053 and 9057 = 81993021

Step 1: Find the prime factorization of 9053

9053 = 11 x 823

Step 2: Find the prime factorization of 9057

9057 = 3 x 3019

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

LCM = 81993021 = 3 x 11 x 823 x 3019

Step 4: Therefore, the least common multiple of 9053 and 9057 is 81993021.