Least Common Multiple of 10052 and 10053

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10052 and 10053 the smallest integer that is 101052756 that is divisible by both numbers.

Least Common Multiple (LCM) of 10052 and 10053 is 101052756.

LCM(10052,10053) = 101052756

LCM of 10052 and 10053

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

LCM of:
and

Least Common Multiple of 10052 and 10053

LCM of 10052 and 10053 is 101052756

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10053. First we will calculate the prime factors of 10052 and 10053.

Prime Factorization of 10052


2 10052
2 5026
7 2513
359 359
1

Prime factors of 10052 are 2, 7,359. Prime factorization of 10052 in exponential form is:

10052 = 22×71×3591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10053.

LCM(10052,10053) = 22×32×71×3591×11171
LCM(10052,10053) = 101052756

Factors of 10052

List of positive integer factors of 10052 that divides 10052 without a remainder.

1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052

Factors of 10053

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

1, 3, 9, 1117, 3351, 10053

Least Common Multiple of 10052 and 10053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10052 and 10053, than apply into the LCM equation.

GCF(10052,10053) = 1
LCM(10052,10053) = ( 10052 × 10053) / 1
LCM(10052,10053) = 101052756 / 1
LCM(10052,10053) = 101052756

Properties of LCM 10052 and 10053

(i) The LCM of 10053 and 10052 is associative

LCM of 10052 and 10053 = LCM of 10053 and 10052

Related Least Common Multiples of 10052

Related Least Common Multiples of 10053

Frequently Asked Questions on LCM of 10052 and 10053

1. What is the LCM of 10052 and 10053?

Answer: LCM of 10052 and 10053 is 101052756.

2. What are the Factors of 10052?

Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.

3. 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.

4. How to Find the LCM of 10052 and 10053?

Answer:

Least Common Multiple of 10052 and 10053 = 101052756

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10053

10053 = 3 x 3 x 1117

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

LCM = 101052756 = 2 x 2 x 3 x 3 x 7 x 359 x 1117

Step 4: Therefore, the least common multiple of 10052 and 10053 is 101052756.