Least Common Multiple of 9053 and 9059

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 9059 the smallest integer that is 82011127 that is divisible by both numbers.

Least Common Multiple (LCM) of 9053 and 9059 is 82011127.

LCM(9053,9059) = 82011127

LCM of 9053 and 9059

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

LCM of:
and

Least Common Multiple of 9053 and 9059

LCM of 9053 and 9059 is 82011127

Least common multiple can be found by multiplying the highest exponent prime factors of 9053 and 9059. First we will calculate the prime factors of 9053 and 9059.

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 9059


9059 9059
1

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

9059 = 90591

Now multiplying the highest exponent prime factors to calculate the LCM of 9053 and 9059.

LCM(9053,9059) = 111×8231×90591
LCM(9053,9059) = 82011127

Factors of 9053

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

1, 11, 823, 9053

Factors of 9059

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

1, 9059

Least Common Multiple of 9053 and 9059 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 9059, than apply into the LCM equation.

GCF(9053,9059) = 1
LCM(9053,9059) = ( 9053 × 9059) / 1
LCM(9053,9059) = 82011127 / 1
LCM(9053,9059) = 82011127

Properties of LCM 9053 and 9059

(i) The LCM of 9059 and 9053 is associative

LCM of 9053 and 9059 = LCM of 9059 and 9053

Related Least Common Multiples of 9053

Related Least Common Multiples of 9059

Frequently Asked Questions on LCM of 9053 and 9059

1. What is the LCM of 9053 and 9059?

Answer: LCM of 9053 and 9059 is 82011127.

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 9059?

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

4. How to Find the LCM of 9053 and 9059?

Answer:

Least Common Multiple of 9053 and 9059 = 82011127

Step 1: Find the prime factorization of 9053

9053 = 11 x 823

Step 2: Find the prime factorization of 9059

9059 = 9059

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

LCM = 82011127 = 11 x 823 x 9059

Step 4: Therefore, the least common multiple of 9053 and 9059 is 82011127.