Least Common Multiple of 5057 and 5062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5057 and 5062 the smallest integer that is 25598534 that is divisible by both numbers.

Least Common Multiple (LCM) of 5057 and 5062 is 25598534.

LCM(5057,5062) = 25598534

LCM of 5057 and 5062

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

LCM of:
and

Least Common Multiple of 5057 and 5062

LCM of 5057 and 5062 is 25598534

Least common multiple can be found by multiplying the highest exponent prime factors of 5057 and 5062. First we will calculate the prime factors of 5057 and 5062.

Prime Factorization of 5057


13 5057
389 389
1

Prime factors of 5057 are 13,389. Prime factorization of 5057 in exponential form is:

5057 = 131×3891

Prime Factorization of 5062


2 5062
2531 2531
1

Prime factors of 5062 are 2,2531. Prime factorization of 5062 in exponential form is:

5062 = 21×25311

Now multiplying the highest exponent prime factors to calculate the LCM of 5057 and 5062.

LCM(5057,5062) = 21×131×3891×25311
LCM(5057,5062) = 25598534

Factors of 5057

List of positive integer factors of 5057 that divides 5057 without a remainder.

1, 13, 389, 5057

Factors of 5062

List of positive integer factors of 5062 that divides 5062 without a remainder.

1, 2, 2531, 5062

Least Common Multiple of 5057 and 5062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5057 and 5062, than apply into the LCM equation.

GCF(5057,5062) = 1
LCM(5057,5062) = ( 5057 × 5062) / 1
LCM(5057,5062) = 25598534 / 1
LCM(5057,5062) = 25598534

Properties of LCM 5057 and 5062

(i) The LCM of 5062 and 5057 is associative

LCM of 5057 and 5062 = LCM of 5062 and 5057

Related Least Common Multiples of 5057

Related Least Common Multiples of 5062

Frequently Asked Questions on LCM of 5057 and 5062

1. What is the LCM of 5057 and 5062?

Answer: LCM of 5057 and 5062 is 25598534.

2. What are the Factors of 5057?

Answer: Factors of 5057 are 1, 13, 389, 5057. There are 4 integers that are factors of 5057. The greatest factor of 5057 is 5057.

3. What are the Factors of 5062?

Answer: Factors of 5062 are 1, 2, 2531, 5062. There are 4 integers that are factors of 5062. The greatest factor of 5062 is 5062.

4. How to Find the LCM of 5057 and 5062?

Answer:

Least Common Multiple of 5057 and 5062 = 25598534

Step 1: Find the prime factorization of 5057

5057 = 13 x 389

Step 2: Find the prime factorization of 5062

5062 = 2 x 2531

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

LCM = 25598534 = 2 x 13 x 389 x 2531

Step 4: Therefore, the least common multiple of 5057 and 5062 is 25598534.