Least Common Multiple of 5056 and 5060

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 5060 the smallest integer that is 6395840 that is divisible by both numbers.

Least Common Multiple (LCM) of 5056 and 5060 is 6395840.

LCM(5056,5060) = 6395840

LCM of 5056 and 5060

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

LCM of:
and

Least Common Multiple of 5056 and 5060

LCM of 5056 and 5060 is 6395840

Least common multiple can be found by multiplying the highest exponent prime factors of 5056 and 5060. First we will calculate the prime factors of 5056 and 5060.

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 5060


2 5060
2 2530
5 1265
11 253
23 23
1

Prime factors of 5060 are 2, 5, 11,23. Prime factorization of 5060 in exponential form is:

5060 = 22×51×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 5056 and 5060.

LCM(5056,5060) = 26×51×111×231×791
LCM(5056,5060) = 6395840

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 5060

List of positive integer factors of 5060 that divides 5060 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060

Least Common Multiple of 5056 and 5060 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 5060, than apply into the LCM equation.

GCF(5056,5060) = 4
LCM(5056,5060) = ( 5056 × 5060) / 4
LCM(5056,5060) = 25583360 / 4
LCM(5056,5060) = 6395840

Properties of LCM 5056 and 5060

(i) The LCM of 5060 and 5056 is associative

LCM of 5056 and 5060 = LCM of 5060 and 5056

Related Least Common Multiples of 5056

Related Least Common Multiples of 5060

Frequently Asked Questions on LCM of 5056 and 5060

1. What is the LCM of 5056 and 5060?

Answer: LCM of 5056 and 5060 is 6395840.

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 5060?

Answer: Factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060. There are 24 integers that are factors of 5060. The greatest factor of 5060 is 5060.

4. How to Find the LCM of 5056 and 5060?

Answer:

Least Common Multiple of 5056 and 5060 = 6395840

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 5060

5060 = 2 x 2 x 5 x 11 x 23

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

LCM = 6395840 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 23 x 79

Step 4: Therefore, the least common multiple of 5056 and 5060 is 6395840.