Least Common Multiple of 5051 and 5055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5051 and 5055 the smallest integer that is 25532805 that is divisible by both numbers.

Least Common Multiple (LCM) of 5051 and 5055 is 25532805.

LCM(5051,5055) = 25532805

LCM of 5051 and 5055

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

LCM of:
and

Least Common Multiple of 5051 and 5055

LCM of 5051 and 5055 is 25532805

Least common multiple can be found by multiplying the highest exponent prime factors of 5051 and 5055. First we will calculate the prime factors of 5051 and 5055.

Prime Factorization of 5051


5051 5051
1

Prime factors of 5051 are 5051. Prime factorization of 5051 in exponential form is:

5051 = 50511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5051 and 5055.

LCM(5051,5055) = 31×51×3371×50511
LCM(5051,5055) = 25532805

Factors of 5051

List of positive integer factors of 5051 that divides 5051 without a remainder.

1, 5051

Factors of 5055

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

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

Least Common Multiple of 5051 and 5055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5051 and 5055, than apply into the LCM equation.

GCF(5051,5055) = 1
LCM(5051,5055) = ( 5051 × 5055) / 1
LCM(5051,5055) = 25532805 / 1
LCM(5051,5055) = 25532805

Properties of LCM 5051 and 5055

(i) The LCM of 5055 and 5051 is associative

LCM of 5051 and 5055 = LCM of 5055 and 5051

Related Least Common Multiples of 5051

Related Least Common Multiples of 5055

Frequently Asked Questions on LCM of 5051 and 5055

1. What is the LCM of 5051 and 5055?

Answer: LCM of 5051 and 5055 is 25532805.

2. What are the Factors of 5051?

Answer: Factors of 5051 are 1, 5051. There are 2 integers that are factors of 5051. The greatest factor of 5051 is 5051.

3. 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.

4. How to Find the LCM of 5051 and 5055?

Answer:

Least Common Multiple of 5051 and 5055 = 25532805

Step 1: Find the prime factorization of 5051

5051 = 5051

Step 2: Find the prime factorization of 5055

5055 = 3 x 5 x 337

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

LCM = 25532805 = 3 x 5 x 337 x 5051

Step 4: Therefore, the least common multiple of 5051 and 5055 is 25532805.