Least Common Multiple of 8060 and 8064

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8060 and 8064 the smallest integer that is 16248960 that is divisible by both numbers.

Least Common Multiple (LCM) of 8060 and 8064 is 16248960.

LCM(8060,8064) = 16248960

LCM of 8060 and 8064

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

LCM of:
and

Least Common Multiple of 8060 and 8064

LCM of 8060 and 8064 is 16248960

Least common multiple can be found by multiplying the highest exponent prime factors of 8060 and 8064. First we will calculate the prime factors of 8060 and 8064.

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

Prime Factorization of 8064


2 8064
2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 8064 are 2, 3,7. Prime factorization of 8064 in exponential form is:

8064 = 27×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 8060 and 8064.

LCM(8060,8064) = 27×32×51×71×131×311
LCM(8060,8064) = 16248960

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

Factors of 8064

List of positive integer factors of 8064 that divides 8064 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064

Least Common Multiple of 8060 and 8064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8060 and 8064, than apply into the LCM equation.

GCF(8060,8064) = 4
LCM(8060,8064) = ( 8060 × 8064) / 4
LCM(8060,8064) = 64995840 / 4
LCM(8060,8064) = 16248960

Properties of LCM 8060 and 8064

(i) The LCM of 8064 and 8060 is associative

LCM of 8060 and 8064 = LCM of 8064 and 8060

Related Least Common Multiples of 8060

Related Least Common Multiples of 8064

Frequently Asked Questions on LCM of 8060 and 8064

1. What is the LCM of 8060 and 8064?

Answer: LCM of 8060 and 8064 is 16248960.

2. 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.

3. What are the Factors of 8064?

Answer: Factors of 8064 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 128, 144, 168, 192, 224, 252, 288, 336, 384, 448, 504, 576, 672, 896, 1008, 1152, 1344, 2016, 2688, 4032, 8064. There are 48 integers that are factors of 8064. The greatest factor of 8064 is 8064.

4. How to Find the LCM of 8060 and 8064?

Answer:

Least Common Multiple of 8060 and 8064 = 16248960

Step 1: Find the prime factorization of 8060

8060 = 2 x 2 x 5 x 13 x 31

Step 2: Find the prime factorization of 8064

8064 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

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

LCM = 16248960 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 31

Step 4: Therefore, the least common multiple of 8060 and 8064 is 16248960.