Least Common Multiple of 5059 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 5059 and 5063 the smallest integer that is 25613717 that is divisible by both numbers.

Least Common Multiple (LCM) of 5059 and 5063 is 25613717.

LCM(5059,5063) = 25613717

LCM of 5059 and 5063

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

LCM of:
and

Least Common Multiple of 5059 and 5063

LCM of 5059 and 5063 is 25613717

Least common multiple can be found by multiplying the highest exponent prime factors of 5059 and 5063. First we will calculate the prime factors of 5059 and 5063.

Prime Factorization of 5059


5059 5059
1

Prime factors of 5059 are 5059. Prime factorization of 5059 in exponential form is:

5059 = 50591

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 5059 and 5063.

LCM(5059,5063) = 611×831×50591
LCM(5059,5063) = 25613717

Factors of 5059

List of positive integer factors of 5059 that divides 5059 without a remainder.

1, 5059

Factors of 5063

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

1, 61, 83, 5063

Least Common Multiple of 5059 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 5059 and 5063, than apply into the LCM equation.

GCF(5059,5063) = 1
LCM(5059,5063) = ( 5059 × 5063) / 1
LCM(5059,5063) = 25613717 / 1
LCM(5059,5063) = 25613717

Properties of LCM 5059 and 5063

(i) The LCM of 5063 and 5059 is associative

LCM of 5059 and 5063 = LCM of 5063 and 5059

Related Least Common Multiples of 5059

Related Least Common Multiples of 5063

Frequently Asked Questions on LCM of 5059 and 5063

1. What is the LCM of 5059 and 5063?

Answer: LCM of 5059 and 5063 is 25613717.

2. What are the Factors of 5059?

Answer: Factors of 5059 are 1, 5059. There are 2 integers that are factors of 5059. The greatest factor of 5059 is 5059.

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 5059 and 5063?

Answer:

Least Common Multiple of 5059 and 5063 = 25613717

Step 1: Find the prime factorization of 5059

5059 = 5059

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 = 25613717 = 61 x 83 x 5059

Step 4: Therefore, the least common multiple of 5059 and 5063 is 25613717.