Least Common Multiple of 8064 and 8068

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8064 and 8068 the smallest integer that is 16265088 that is divisible by both numbers.

Least Common Multiple (LCM) of 8064 and 8068 is 16265088.

LCM(8064,8068) = 16265088

LCM of 8064 and 8068

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

LCM of:
and

Least Common Multiple of 8064 and 8068

LCM of 8064 and 8068 is 16265088

Least common multiple can be found by multiplying the highest exponent prime factors of 8064 and 8068. First we will calculate the prime factors of 8064 and 8068.

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

Prime Factorization of 8068


2 8068
2 4034
2017 2017
1

Prime factors of 8068 are 2,2017. Prime factorization of 8068 in exponential form is:

8068 = 22×20171

Now multiplying the highest exponent prime factors to calculate the LCM of 8064 and 8068.

LCM(8064,8068) = 27×32×71×20171
LCM(8064,8068) = 16265088

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

Factors of 8068

List of positive integer factors of 8068 that divides 8068 without a remainder.

1, 2, 4, 2017, 4034, 8068

Least Common Multiple of 8064 and 8068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8064 and 8068, than apply into the LCM equation.

GCF(8064,8068) = 4
LCM(8064,8068) = ( 8064 × 8068) / 4
LCM(8064,8068) = 65060352 / 4
LCM(8064,8068) = 16265088

Properties of LCM 8064 and 8068

(i) The LCM of 8068 and 8064 is associative

LCM of 8064 and 8068 = LCM of 8068 and 8064

Related Least Common Multiples of 8064

Related Least Common Multiples of 8068

Frequently Asked Questions on LCM of 8064 and 8068

1. What is the LCM of 8064 and 8068?

Answer: LCM of 8064 and 8068 is 16265088.

2. 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.

3. What are the Factors of 8068?

Answer: Factors of 8068 are 1, 2, 4, 2017, 4034, 8068. There are 6 integers that are factors of 8068. The greatest factor of 8068 is 8068.

4. How to Find the LCM of 8064 and 8068?

Answer:

Least Common Multiple of 8064 and 8068 = 16265088

Step 1: 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 2: Find the prime factorization of 8068

8068 = 2 x 2 x 2017

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

LCM = 16265088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 2017

Step 4: Therefore, the least common multiple of 8064 and 8068 is 16265088.