Least Common Multiple of 10052 and 10056

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 10056 the smallest integer that is 25270728 that is divisible by both numbers.

Least Common Multiple (LCM) of 10052 and 10056 is 25270728.

LCM(10052,10056) = 25270728

LCM of 10052 and 10056

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

LCM of:
and

Least Common Multiple of 10052 and 10056

LCM of 10052 and 10056 is 25270728

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10056. First we will calculate the prime factors of 10052 and 10056.

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 10056


2 10056
2 5028
2 2514
3 1257
419 419
1

Prime factors of 10056 are 2, 3,419. Prime factorization of 10056 in exponential form is:

10056 = 23×31×4191

Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10056.

LCM(10052,10056) = 23×31×71×3591×4191
LCM(10052,10056) = 25270728

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 10056

List of positive integer factors of 10056 that divides 10056 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056

Least Common Multiple of 10052 and 10056 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 10056, than apply into the LCM equation.

GCF(10052,10056) = 4
LCM(10052,10056) = ( 10052 × 10056) / 4
LCM(10052,10056) = 101082912 / 4
LCM(10052,10056) = 25270728

Properties of LCM 10052 and 10056

(i) The LCM of 10056 and 10052 is associative

LCM of 10052 and 10056 = LCM of 10056 and 10052

Related Least Common Multiples of 10052

Related Least Common Multiples of 10056

Frequently Asked Questions on LCM of 10052 and 10056

1. What is the LCM of 10052 and 10056?

Answer: LCM of 10052 and 10056 is 25270728.

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 10056?

Answer: Factors of 10056 are 1, 2, 3, 4, 6, 8, 12, 24, 419, 838, 1257, 1676, 2514, 3352, 5028, 10056. There are 16 integers that are factors of 10056. The greatest factor of 10056 is 10056.

4. How to Find the LCM of 10052 and 10056?

Answer:

Least Common Multiple of 10052 and 10056 = 25270728

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10056

10056 = 2 x 2 x 2 x 3 x 419

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

LCM = 25270728 = 2 x 2 x 2 x 3 x 7 x 359 x 419

Step 4: Therefore, the least common multiple of 10052 and 10056 is 25270728.