Least Common Multiple of 8062 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 8062 and 8064 the smallest integer that is 32505984 that is divisible by both numbers.

Least Common Multiple (LCM) of 8062 and 8064 is 32505984.

LCM(8062,8064) = 32505984

LCM of 8062 and 8064

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

LCM of:
and

Least Common Multiple of 8062 and 8064

LCM of 8062 and 8064 is 32505984

Least common multiple can be found by multiplying the highest exponent prime factors of 8062 and 8064. First we will calculate the prime factors of 8062 and 8064.

Prime Factorization of 8062


2 8062
29 4031
139 139
1

Prime factors of 8062 are 2, 29,139. Prime factorization of 8062 in exponential form is:

8062 = 21×291×1391

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 8062 and 8064.

LCM(8062,8064) = 27×32×71×291×1391
LCM(8062,8064) = 32505984

Factors of 8062

List of positive integer factors of 8062 that divides 8062 without a remainder.

1, 2, 29, 58, 139, 278, 4031, 8062

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 8062 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 8062 and 8064, than apply into the LCM equation.

GCF(8062,8064) = 2
LCM(8062,8064) = ( 8062 × 8064) / 2
LCM(8062,8064) = 65011968 / 2
LCM(8062,8064) = 32505984

Properties of LCM 8062 and 8064

(i) The LCM of 8064 and 8062 is associative

LCM of 8062 and 8064 = LCM of 8064 and 8062

Related Least Common Multiples of 8062

Related Least Common Multiples of 8064

Frequently Asked Questions on LCM of 8062 and 8064

1. What is the LCM of 8062 and 8064?

Answer: LCM of 8062 and 8064 is 32505984.

2. What are the Factors of 8062?

Answer: Factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062. There are 8 integers that are factors of 8062. The greatest factor of 8062 is 8062.

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 8062 and 8064?

Answer:

Least Common Multiple of 8062 and 8064 = 32505984

Step 1: Find the prime factorization of 8062

8062 = 2 x 29 x 139

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 = 32505984 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 29 x 139

Step 4: Therefore, the least common multiple of 8062 and 8064 is 32505984.