Least Common Multiple of 8056 and 8060

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8056 and 8060 the smallest integer that is 16232840 that is divisible by both numbers.

Least Common Multiple (LCM) of 8056 and 8060 is 16232840.

LCM(8056,8060) = 16232840

LCM of 8056 and 8060

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

LCM of:
and

Least Common Multiple of 8056 and 8060

LCM of 8056 and 8060 is 16232840

Least common multiple can be found by multiplying the highest exponent prime factors of 8056 and 8060. First we will calculate the prime factors of 8056 and 8060.

Prime Factorization of 8056


2 8056
2 4028
2 2014
19 1007
53 53
1

Prime factors of 8056 are 2, 19,53. Prime factorization of 8056 in exponential form is:

8056 = 23×191×531

Prime Factorization of 8060


2 8060
2 4030
5 2015
13 403
31 31
1

Prime factors of 8060 are 2, 5, 13,31. Prime factorization of 8060 in exponential form is:

8060 = 22×51×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 8056 and 8060.

LCM(8056,8060) = 23×51×131×191×311×531
LCM(8056,8060) = 16232840

Factors of 8056

List of positive integer factors of 8056 that divides 8056 without a remainder.

1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056

Factors of 8060

List of positive integer factors of 8060 that divides 8060 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060

Least Common Multiple of 8056 and 8060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8056 and 8060, than apply into the LCM equation.

GCF(8056,8060) = 4
LCM(8056,8060) = ( 8056 × 8060) / 4
LCM(8056,8060) = 64931360 / 4
LCM(8056,8060) = 16232840

Properties of LCM 8056 and 8060

(i) The LCM of 8060 and 8056 is associative

LCM of 8056 and 8060 = LCM of 8060 and 8056

Related Least Common Multiples of 8056

Related Least Common Multiples of 8060

Frequently Asked Questions on LCM of 8056 and 8060

1. What is the LCM of 8056 and 8060?

Answer: LCM of 8056 and 8060 is 16232840.

2. What are the Factors of 8056?

Answer: Factors of 8056 are 1, 2, 4, 8, 19, 38, 53, 76, 106, 152, 212, 424, 1007, 2014, 4028, 8056. There are 16 integers that are factors of 8056. The greatest factor of 8056 is 8056.

3. What are the Factors of 8060?

Answer: Factors of 8060 are 1, 2, 4, 5, 10, 13, 20, 26, 31, 52, 62, 65, 124, 130, 155, 260, 310, 403, 620, 806, 1612, 2015, 4030, 8060. There are 24 integers that are factors of 8060. The greatest factor of 8060 is 8060.

4. How to Find the LCM of 8056 and 8060?

Answer:

Least Common Multiple of 8056 and 8060 = 16232840

Step 1: Find the prime factorization of 8056

8056 = 2 x 2 x 2 x 19 x 53

Step 2: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

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

LCM = 16232840 = 2 x 2 x 2 x 5 x 13 x 19 x 31 x 53

Step 4: Therefore, the least common multiple of 8056 and 8060 is 16232840.