Least Common Multiple of 10052 and 10058

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 10058 the smallest integer that is 50551508 that is divisible by both numbers.

Least Common Multiple (LCM) of 10052 and 10058 is 50551508.

LCM(10052,10058) = 50551508

LCM of 10052 and 10058

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

LCM of:
and

Least Common Multiple of 10052 and 10058

LCM of 10052 and 10058 is 50551508

Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10058. First we will calculate the prime factors of 10052 and 10058.

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 10058


2 10058
47 5029
107 107
1

Prime factors of 10058 are 2, 47,107. Prime factorization of 10058 in exponential form is:

10058 = 21×471×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10058.

LCM(10052,10058) = 22×71×471×1071×3591
LCM(10052,10058) = 50551508

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 10058

List of positive integer factors of 10058 that divides 10058 without a remainder.

1, 2, 47, 94, 107, 214, 5029, 10058

Least Common Multiple of 10052 and 10058 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 10058, than apply into the LCM equation.

GCF(10052,10058) = 2
LCM(10052,10058) = ( 10052 × 10058) / 2
LCM(10052,10058) = 101103016 / 2
LCM(10052,10058) = 50551508

Properties of LCM 10052 and 10058

(i) The LCM of 10058 and 10052 is associative

LCM of 10052 and 10058 = LCM of 10058 and 10052

Related Least Common Multiples of 10052

Related Least Common Multiples of 10058

Frequently Asked Questions on LCM of 10052 and 10058

1. What is the LCM of 10052 and 10058?

Answer: LCM of 10052 and 10058 is 50551508.

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 10058?

Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.

4. How to Find the LCM of 10052 and 10058?

Answer:

Least Common Multiple of 10052 and 10058 = 50551508

Step 1: Find the prime factorization of 10052

10052 = 2 x 2 x 7 x 359

Step 2: Find the prime factorization of 10058

10058 = 2 x 47 x 107

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

LCM = 50551508 = 2 x 2 x 7 x 47 x 107 x 359

Step 4: Therefore, the least common multiple of 10052 and 10058 is 50551508.