Least Common Multiple of 6058 and 6063

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6058 and 6063 the smallest integer that is 36729654 that is divisible by both numbers.

Least Common Multiple (LCM) of 6058 and 6063 is 36729654.

LCM(6058,6063) = 36729654

LCM of 6058 and 6063

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

LCM of:
and

Least Common Multiple of 6058 and 6063

LCM of 6058 and 6063 is 36729654

Least common multiple can be found by multiplying the highest exponent prime factors of 6058 and 6063. First we will calculate the prime factors of 6058 and 6063.

Prime Factorization of 6058


2 6058
13 3029
233 233
1

Prime factors of 6058 are 2, 13,233. Prime factorization of 6058 in exponential form is:

6058 = 21×131×2331

Prime Factorization of 6063


3 6063
43 2021
47 47
1

Prime factors of 6063 are 3, 43,47. Prime factorization of 6063 in exponential form is:

6063 = 31×431×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6058 and 6063.

LCM(6058,6063) = 21×31×131×431×471×2331
LCM(6058,6063) = 36729654

Factors of 6058

List of positive integer factors of 6058 that divides 6058 without a remainder.

1, 2, 13, 26, 233, 466, 3029, 6058

Factors of 6063

List of positive integer factors of 6063 that divides 6063 without a remainder.

1, 3, 43, 47, 129, 141, 2021, 6063

Least Common Multiple of 6058 and 6063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6058 and 6063, than apply into the LCM equation.

GCF(6058,6063) = 1
LCM(6058,6063) = ( 6058 × 6063) / 1
LCM(6058,6063) = 36729654 / 1
LCM(6058,6063) = 36729654

Properties of LCM 6058 and 6063

(i) The LCM of 6063 and 6058 is associative

LCM of 6058 and 6063 = LCM of 6063 and 6058

Related Least Common Multiples of 6058

Related Least Common Multiples of 6063

Frequently Asked Questions on LCM of 6058 and 6063

1. What is the LCM of 6058 and 6063?

Answer: LCM of 6058 and 6063 is 36729654.

2. What are the Factors of 6058?

Answer: Factors of 6058 are 1, 2, 13, 26, 233, 466, 3029, 6058. There are 8 integers that are factors of 6058. The greatest factor of 6058 is 6058.

3. What are the Factors of 6063?

Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.

4. How to Find the LCM of 6058 and 6063?

Answer:

Least Common Multiple of 6058 and 6063 = 36729654

Step 1: Find the prime factorization of 6058

6058 = 2 x 13 x 233

Step 2: Find the prime factorization of 6063

6063 = 3 x 43 x 47

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

LCM = 36729654 = 2 x 3 x 13 x 43 x 47 x 233

Step 4: Therefore, the least common multiple of 6058 and 6063 is 36729654.