Least Common Multiple of 10058 and 10062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10058 and 10062 the smallest integer that is 50601798 that is divisible by both numbers.

Least Common Multiple (LCM) of 10058 and 10062 is 50601798.

LCM(10058,10062) = 50601798

LCM of 10058 and 10062

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

LCM of:
and

Least Common Multiple of 10058 and 10062

LCM of 10058 and 10062 is 50601798

Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10062. First we will calculate the prime factors of 10058 and 10062.

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

Prime Factorization of 10062


2 10062
3 5031
3 1677
13 559
43 43
1

Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:

10062 = 21×32×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 10058 and 10062.

LCM(10058,10062) = 21×32×131×431×471×1071
LCM(10058,10062) = 50601798

Factors of 10058

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

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

Factors of 10062

List of positive integer factors of 10062 that divides 10062 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062

Least Common Multiple of 10058 and 10062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10058 and 10062, than apply into the LCM equation.

GCF(10058,10062) = 2
LCM(10058,10062) = ( 10058 × 10062) / 2
LCM(10058,10062) = 101203596 / 2
LCM(10058,10062) = 50601798

Properties of LCM 10058 and 10062

(i) The LCM of 10062 and 10058 is associative

LCM of 10058 and 10062 = LCM of 10062 and 10058

Related Least Common Multiples of 10058

Related Least Common Multiples of 10062

Frequently Asked Questions on LCM of 10058 and 10062

1. What is the LCM of 10058 and 10062?

Answer: LCM of 10058 and 10062 is 50601798.

2. 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.

3. What are the Factors of 10062?

Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.

4. How to Find the LCM of 10058 and 10062?

Answer:

Least Common Multiple of 10058 and 10062 = 50601798

Step 1: Find the prime factorization of 10058

10058 = 2 x 47 x 107

Step 2: Find the prime factorization of 10062

10062 = 2 x 3 x 3 x 13 x 43

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

LCM = 50601798 = 2 x 3 x 3 x 13 x 43 x 47 x 107

Step 4: Therefore, the least common multiple of 10058 and 10062 is 50601798.