Least Common Multiple of 8056 and 8061

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 8061 the smallest integer that is 64939416 that is divisible by both numbers.

Least Common Multiple (LCM) of 8056 and 8061 is 64939416.

LCM(8056,8061) = 64939416

LCM of 8056 and 8061

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

LCM of:
and

Least Common Multiple of 8056 and 8061

LCM of 8056 and 8061 is 64939416

Least common multiple can be found by multiplying the highest exponent prime factors of 8056 and 8061. First we will calculate the prime factors of 8056 and 8061.

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 8061


3 8061
2687 2687
1

Prime factors of 8061 are 3,2687. Prime factorization of 8061 in exponential form is:

8061 = 31×26871

Now multiplying the highest exponent prime factors to calculate the LCM of 8056 and 8061.

LCM(8056,8061) = 23×31×191×531×26871
LCM(8056,8061) = 64939416

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 8061

List of positive integer factors of 8061 that divides 8061 without a remainder.

1, 3, 2687, 8061

Least Common Multiple of 8056 and 8061 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 8061, than apply into the LCM equation.

GCF(8056,8061) = 1
LCM(8056,8061) = ( 8056 × 8061) / 1
LCM(8056,8061) = 64939416 / 1
LCM(8056,8061) = 64939416

Properties of LCM 8056 and 8061

(i) The LCM of 8061 and 8056 is associative

LCM of 8056 and 8061 = LCM of 8061 and 8056

Related Least Common Multiples of 8056

Related Least Common Multiples of 8061

Frequently Asked Questions on LCM of 8056 and 8061

1. What is the LCM of 8056 and 8061?

Answer: LCM of 8056 and 8061 is 64939416.

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 8061?

Answer: Factors of 8061 are 1, 3, 2687, 8061. There are 4 integers that are factors of 8061. The greatest factor of 8061 is 8061.

4. How to Find the LCM of 8056 and 8061?

Answer:

Least Common Multiple of 8056 and 8061 = 64939416

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 8061

8061 = 3 x 2687

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

LCM = 64939416 = 2 x 2 x 2 x 3 x 19 x 53 x 2687

Step 4: Therefore, the least common multiple of 8056 and 8061 is 64939416.