Least Common Multiple of 10052 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 10052 and 10059 the smallest integer that is 14444724 that is divisible by both numbers.

Least Common Multiple (LCM) of 10052 and 10059 is 14444724.

LCM(10052,10059) = 14444724

LCM of 10052 and 10059

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

LCM of:
and

Least Common Multiple of 10052 and 10059

LCM of 10052 and 10059 is 14444724

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10059. First we will calculate the prime factors of 10052 and 10059.

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 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 10052 and 10059.

LCM(10052,10059) = 22×31×71×3591×4791
LCM(10052,10059) = 14444724

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 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 10052 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 10052 and 10059, than apply into the LCM equation.

GCF(10052,10059) = 7
LCM(10052,10059) = ( 10052 × 10059) / 7
LCM(10052,10059) = 101113068 / 7
LCM(10052,10059) = 14444724

Properties of LCM 10052 and 10059

(i) The LCM of 10059 and 10052 is associative

LCM of 10052 and 10059 = LCM of 10059 and 10052

Related Least Common Multiples of 10052

Related Least Common Multiples of 10059

Frequently Asked Questions on LCM of 10052 and 10059

1. What is the LCM of 10052 and 10059?

Answer: LCM of 10052 and 10059 is 14444724.

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 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 10052 and 10059?

Answer:

Least Common Multiple of 10052 and 10059 = 14444724

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

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 = 14444724 = 2 x 2 x 3 x 7 x 359 x 479

Step 4: Therefore, the least common multiple of 10052 and 10059 is 14444724.