Least Common Multiple of 5055 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 5055 and 5062 the smallest integer that is 25588410 that is divisible by both numbers.

Least Common Multiple (LCM) of 5055 and 5062 is 25588410.

LCM(5055,5062) = 25588410

LCM of 5055 and 5062

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

LCM of:
and

Least Common Multiple of 5055 and 5062

LCM of 5055 and 5062 is 25588410

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5062. First we will calculate the prime factors of 5055 and 5062.

Prime Factorization of 5055


3 5055
5 1685
337 337
1

Prime factors of 5055 are 3, 5,337. Prime factorization of 5055 in exponential form is:

5055 = 31×51×3371

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 5055 and 5062.

LCM(5055,5062) = 21×31×51×3371×25311
LCM(5055,5062) = 25588410

Factors of 5055

List of positive integer factors of 5055 that divides 5055 without a remainder.

1, 3, 5, 15, 337, 1011, 1685, 5055

Factors of 5062

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

1, 2, 2531, 5062

Least Common Multiple of 5055 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 5055 and 5062, than apply into the LCM equation.

GCF(5055,5062) = 1
LCM(5055,5062) = ( 5055 × 5062) / 1
LCM(5055,5062) = 25588410 / 1
LCM(5055,5062) = 25588410

Properties of LCM 5055 and 5062

(i) The LCM of 5062 and 5055 is associative

LCM of 5055 and 5062 = LCM of 5062 and 5055

Related Least Common Multiples of 5055

Related Least Common Multiples of 5062

Frequently Asked Questions on LCM of 5055 and 5062

1. What is the LCM of 5055 and 5062?

Answer: LCM of 5055 and 5062 is 25588410.

2. What are the Factors of 5055?

Answer: Factors of 5055 are 1, 3, 5, 15, 337, 1011, 1685, 5055. There are 8 integers that are factors of 5055. The greatest factor of 5055 is 5055.

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 5055 and 5062?

Answer:

Least Common Multiple of 5055 and 5062 = 25588410

Step 1: Find the prime factorization of 5055

5055 = 3 x 5 x 337

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 = 25588410 = 2 x 3 x 5 x 337 x 2531

Step 4: Therefore, the least common multiple of 5055 and 5062 is 25588410.