Least Common Multiple of 10053 and 10059

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10053 and 10059 the smallest integer that is 33707709 that is divisible by both numbers.

Least Common Multiple (LCM) of 10053 and 10059 is 33707709.

LCM(10053,10059) = 33707709

LCM of 10053 and 10059

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

LCM of:
and

Least Common Multiple of 10053 and 10059

LCM of 10053 and 10059 is 33707709

Least common multiple can be found by multiplying the highest exponent prime factors of 10053 and 10059. First we will calculate the prime factors of 10053 and 10059.

Prime Factorization of 10053


3 10053
3 3351
1117 1117
1

Prime factors of 10053 are 3,1117. Prime factorization of 10053 in exponential form is:

10053 = 32×11171

Prime Factorization of 10059


3 10059
7 3353
479 479
1

Prime factors of 10059 are 3, 7,479. Prime factorization of 10059 in exponential form is:

10059 = 31×71×4791

Now multiplying the highest exponent prime factors to calculate the LCM of 10053 and 10059.

LCM(10053,10059) = 32×71×4791×11171
LCM(10053,10059) = 33707709

Factors of 10053

List of positive integer factors of 10053 that divides 10053 without a remainder.

1, 3, 9, 1117, 3351, 10053

Factors of 10059

List of positive integer factors of 10059 that divides 10059 without a remainder.

1, 3, 7, 21, 479, 1437, 3353, 10059

Least Common Multiple of 10053 and 10059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10053 and 10059, than apply into the LCM equation.

GCF(10053,10059) = 3
LCM(10053,10059) = ( 10053 × 10059) / 3
LCM(10053,10059) = 101123127 / 3
LCM(10053,10059) = 33707709

Properties of LCM 10053 and 10059

(i) The LCM of 10059 and 10053 is associative

LCM of 10053 and 10059 = LCM of 10059 and 10053

Related Least Common Multiples of 10053

Related Least Common Multiples of 10059

Frequently Asked Questions on LCM of 10053 and 10059

1. What is the LCM of 10053 and 10059?

Answer: LCM of 10053 and 10059 is 33707709.

2. What are the Factors of 10053?

Answer: Factors of 10053 are 1, 3, 9, 1117, 3351, 10053. There are 6 integers that are factors of 10053. The greatest factor of 10053 is 10053.

3. What are the Factors of 10059?

Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.

4. How to Find the LCM of 10053 and 10059?

Answer:

Least Common Multiple of 10053 and 10059 = 33707709

Step 1: Find the prime factorization of 10053

10053 = 3 x 3 x 1117

Step 2: Find the prime factorization of 10059

10059 = 3 x 7 x 479

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

LCM = 33707709 = 3 x 3 x 7 x 479 x 1117

Step 4: Therefore, the least common multiple of 10053 and 10059 is 33707709.