Least Common Multiple of 8054 and 8056

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8054 and 8056 the smallest integer that is 32441512 that is divisible by both numbers.

Least Common Multiple (LCM) of 8054 and 8056 is 32441512.

LCM(8054,8056) = 32441512

LCM of 8054 and 8056

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

LCM of:
and

Least Common Multiple of 8054 and 8056

LCM of 8054 and 8056 is 32441512

Least common multiple can be found by multiplying the highest exponent prime factors of 8054 and 8056. First we will calculate the prime factors of 8054 and 8056.

Prime Factorization of 8054


2 8054
4027 4027
1

Prime factors of 8054 are 2,4027. Prime factorization of 8054 in exponential form is:

8054 = 21×40271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8054 and 8056.

LCM(8054,8056) = 23×191×531×40271
LCM(8054,8056) = 32441512

Factors of 8054

List of positive integer factors of 8054 that divides 8054 without a remainder.

1, 2, 4027, 8054

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

Least Common Multiple of 8054 and 8056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8054 and 8056, than apply into the LCM equation.

GCF(8054,8056) = 2
LCM(8054,8056) = ( 8054 × 8056) / 2
LCM(8054,8056) = 64883024 / 2
LCM(8054,8056) = 32441512

Properties of LCM 8054 and 8056

(i) The LCM of 8056 and 8054 is associative

LCM of 8054 and 8056 = LCM of 8056 and 8054

Related Least Common Multiples of 8054

Related Least Common Multiples of 8056

Frequently Asked Questions on LCM of 8054 and 8056

1. What is the LCM of 8054 and 8056?

Answer: LCM of 8054 and 8056 is 32441512.

2. What are the Factors of 8054?

Answer: Factors of 8054 are 1, 2, 4027, 8054. There are 4 integers that are factors of 8054. The greatest factor of 8054 is 8054.

3. 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.

4. How to Find the LCM of 8054 and 8056?

Answer:

Least Common Multiple of 8054 and 8056 = 32441512

Step 1: Find the prime factorization of 8054

8054 = 2 x 4027

Step 2: Find the prime factorization of 8056

8056 = 2 x 2 x 2 x 19 x 53

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

LCM = 32441512 = 2 x 2 x 2 x 19 x 53 x 4027

Step 4: Therefore, the least common multiple of 8054 and 8056 is 32441512.