Least Common Multiple of 4058 and 4062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4058 and 4062 the smallest integer that is 8241798 that is divisible by both numbers.

Least Common Multiple (LCM) of 4058 and 4062 is 8241798.

LCM(4058,4062) = 8241798

LCM of 4058 and 4062

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

LCM of:
and

Least Common Multiple of 4058 and 4062

LCM of 4058 and 4062 is 8241798

Least common multiple can be found by multiplying the highest exponent prime factors of 4058 and 4062. First we will calculate the prime factors of 4058 and 4062.

Prime Factorization of 4058


2 4058
2029 2029
1

Prime factors of 4058 are 2,2029. Prime factorization of 4058 in exponential form is:

4058 = 21×20291

Prime Factorization of 4062


2 4062
3 2031
677 677
1

Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:

4062 = 21×31×6771

Now multiplying the highest exponent prime factors to calculate the LCM of 4058 and 4062.

LCM(4058,4062) = 21×31×6771×20291
LCM(4058,4062) = 8241798

Factors of 4058

List of positive integer factors of 4058 that divides 4058 without a remainder.

1, 2, 2029, 4058

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1, 2, 3, 6, 677, 1354, 2031, 4062

Least Common Multiple of 4058 and 4062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4058 and 4062, than apply into the LCM equation.

GCF(4058,4062) = 2
LCM(4058,4062) = ( 4058 × 4062) / 2
LCM(4058,4062) = 16483596 / 2
LCM(4058,4062) = 8241798

Properties of LCM 4058 and 4062

(i) The LCM of 4062 and 4058 is associative

LCM of 4058 and 4062 = LCM of 4062 and 4058

Related Least Common Multiples of 4058

Related Least Common Multiples of 4062

Frequently Asked Questions on LCM of 4058 and 4062

1. What is the LCM of 4058 and 4062?

Answer: LCM of 4058 and 4062 is 8241798.

2. What are the Factors of 4058?

Answer: Factors of 4058 are 1, 2, 2029, 4058. There are 4 integers that are factors of 4058. The greatest factor of 4058 is 4058.

3. What are the Factors of 4062?

Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.

4. How to Find the LCM of 4058 and 4062?

Answer:

Least Common Multiple of 4058 and 4062 = 8241798

Step 1: Find the prime factorization of 4058

4058 = 2 x 2029

Step 2: Find the prime factorization of 4062

4062 = 2 x 3 x 677

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

LCM = 8241798 = 2 x 3 x 677 x 2029

Step 4: Therefore, the least common multiple of 4058 and 4062 is 8241798.