Least Common Multiple of 5055 and 5063

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 5063 the smallest integer that is 25593465 that is divisible by both numbers.

Least Common Multiple (LCM) of 5055 and 5063 is 25593465.

LCM(5055,5063) = 25593465

LCM of 5055 and 5063

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

LCM of:
and

Least Common Multiple of 5055 and 5063

LCM of 5055 and 5063 is 25593465

Least common multiple can be found by multiplying the highest exponent prime factors of 5055 and 5063. First we will calculate the prime factors of 5055 and 5063.

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 5063


61 5063
83 83
1

Prime factors of 5063 are 61,83. Prime factorization of 5063 in exponential form is:

5063 = 611×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5055 and 5063.

LCM(5055,5063) = 31×51×611×831×3371
LCM(5055,5063) = 25593465

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 5063

List of positive integer factors of 5063 that divides 5063 without a remainder.

1, 61, 83, 5063

Least Common Multiple of 5055 and 5063 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 5063, than apply into the LCM equation.

GCF(5055,5063) = 1
LCM(5055,5063) = ( 5055 × 5063) / 1
LCM(5055,5063) = 25593465 / 1
LCM(5055,5063) = 25593465

Properties of LCM 5055 and 5063

(i) The LCM of 5063 and 5055 is associative

LCM of 5055 and 5063 = LCM of 5063 and 5055

Related Least Common Multiples of 5055

Related Least Common Multiples of 5063

Frequently Asked Questions on LCM of 5055 and 5063

1. What is the LCM of 5055 and 5063?

Answer: LCM of 5055 and 5063 is 25593465.

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 5063?

Answer: Factors of 5063 are 1, 61, 83, 5063. There are 4 integers that are factors of 5063. The greatest factor of 5063 is 5063.

4. How to Find the LCM of 5055 and 5063?

Answer:

Least Common Multiple of 5055 and 5063 = 25593465

Step 1: Find the prime factorization of 5055

5055 = 3 x 5 x 337

Step 2: Find the prime factorization of 5063

5063 = 61 x 83

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

LCM = 25593465 = 3 x 5 x 61 x 83 x 337

Step 4: Therefore, the least common multiple of 5055 and 5063 is 25593465.