Least Common Multiple of 5056 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 5056 and 5062 the smallest integer that is 12796736 that is divisible by both numbers.

Least Common Multiple (LCM) of 5056 and 5062 is 12796736.

LCM(5056,5062) = 12796736

LCM of 5056 and 5062

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

LCM of:
and

Least Common Multiple of 5056 and 5062

LCM of 5056 and 5062 is 12796736

Least common multiple can be found by multiplying the highest exponent prime factors of 5056 and 5062. First we will calculate the prime factors of 5056 and 5062.

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 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 5056 and 5062.

LCM(5056,5062) = 26×791×25311
LCM(5056,5062) = 12796736

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 5062

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

1, 2, 2531, 5062

Least Common Multiple of 5056 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 5056 and 5062, than apply into the LCM equation.

GCF(5056,5062) = 2
LCM(5056,5062) = ( 5056 × 5062) / 2
LCM(5056,5062) = 25593472 / 2
LCM(5056,5062) = 12796736

Properties of LCM 5056 and 5062

(i) The LCM of 5062 and 5056 is associative

LCM of 5056 and 5062 = LCM of 5062 and 5056

Related Least Common Multiples of 5056

Related Least Common Multiples of 5062

Frequently Asked Questions on LCM of 5056 and 5062

1. What is the LCM of 5056 and 5062?

Answer: LCM of 5056 and 5062 is 12796736.

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 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 5056 and 5062?

Answer:

Least Common Multiple of 5056 and 5062 = 12796736

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 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 = 12796736 = 2 x 2 x 2 x 2 x 2 x 2 x 79 x 2531

Step 4: Therefore, the least common multiple of 5056 and 5062 is 12796736.