Least Common Multiple of 8056 and 8062

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 8062 the smallest integer that is 32473736 that is divisible by both numbers.

Least Common Multiple (LCM) of 8056 and 8062 is 32473736.

LCM(8056,8062) = 32473736

LCM of 8056 and 8062

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

LCM of:
and

Least Common Multiple of 8056 and 8062

LCM of 8056 and 8062 is 32473736

Least common multiple can be found by multiplying the highest exponent prime factors of 8056 and 8062. First we will calculate the prime factors of 8056 and 8062.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8056 and 8062.

LCM(8056,8062) = 23×191×291×531×1391
LCM(8056,8062) = 32473736

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 8062

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

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

Least Common Multiple of 8056 and 8062 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 8062, than apply into the LCM equation.

GCF(8056,8062) = 2
LCM(8056,8062) = ( 8056 × 8062) / 2
LCM(8056,8062) = 64947472 / 2
LCM(8056,8062) = 32473736

Properties of LCM 8056 and 8062

(i) The LCM of 8062 and 8056 is associative

LCM of 8056 and 8062 = LCM of 8062 and 8056

Related Least Common Multiples of 8056

Related Least Common Multiples of 8062

Frequently Asked Questions on LCM of 8056 and 8062

1. What is the LCM of 8056 and 8062?

Answer: LCM of 8056 and 8062 is 32473736.

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 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.

4. How to Find the LCM of 8056 and 8062?

Answer:

Least Common Multiple of 8056 and 8062 = 32473736

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 8062

8062 = 2 x 29 x 139

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

LCM = 32473736 = 2 x 2 x 2 x 19 x 29 x 53 x 139

Step 4: Therefore, the least common multiple of 8056 and 8062 is 32473736.