Least Common Multiple of 5056 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 5056 and 5063 the smallest integer that is 25598528 that is divisible by both numbers.

Least Common Multiple (LCM) of 5056 and 5063 is 25598528.

LCM(5056,5063) = 25598528

LCM of 5056 and 5063

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

LCM of:
and

Least Common Multiple of 5056 and 5063

LCM of 5056 and 5063 is 25598528

Least common multiple can be found by multiplying the highest exponent prime factors of 5056 and 5063. First we will calculate the prime factors of 5056 and 5063.

Prime Factorization of 5056


2 5056
2 2528
2 1264
2 632
2 316
2 158
79 79
1

Prime factors of 5056 are 2,79. Prime factorization of 5056 in exponential form is:

5056 = 26×791

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 5056 and 5063.

LCM(5056,5063) = 26×611×791×831
LCM(5056,5063) = 25598528

Factors of 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056

Factors of 5063

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

1, 61, 83, 5063

Least Common Multiple of 5056 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 5056 and 5063, than apply into the LCM equation.

GCF(5056,5063) = 1
LCM(5056,5063) = ( 5056 × 5063) / 1
LCM(5056,5063) = 25598528 / 1
LCM(5056,5063) = 25598528

Properties of LCM 5056 and 5063

(i) The LCM of 5063 and 5056 is associative

LCM of 5056 and 5063 = LCM of 5063 and 5056

Related Least Common Multiples of 5056

Related Least Common Multiples of 5063

Frequently Asked Questions on LCM of 5056 and 5063

1. What is the LCM of 5056 and 5063?

Answer: LCM of 5056 and 5063 is 25598528.

2. What are the Factors of 5056?

Answer: Factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056. There are 14 integers that are factors of 5056. The greatest factor of 5056 is 5056.

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 5056 and 5063?

Answer:

Least Common Multiple of 5056 and 5063 = 25598528

Step 1: Find the prime factorization of 5056

5056 = 2 x 2 x 2 x 2 x 2 x 2 x 79

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 = 25598528 = 2 x 2 x 2 x 2 x 2 x 2 x 61 x 79 x 83

Step 4: Therefore, the least common multiple of 5056 and 5063 is 25598528.