Least Common Multiple of 8053 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 8053 and 8056 the smallest integer that is 64874968 that is divisible by both numbers.

Least Common Multiple (LCM) of 8053 and 8056 is 64874968.

LCM(8053,8056) = 64874968

LCM of 8053 and 8056

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

LCM of:
and

Least Common Multiple of 8053 and 8056

LCM of 8053 and 8056 is 64874968

Least common multiple can be found by multiplying the highest exponent prime factors of 8053 and 8056. First we will calculate the prime factors of 8053 and 8056.

Prime Factorization of 8053


8053 8053
1

Prime factors of 8053 are 8053. Prime factorization of 8053 in exponential form is:

8053 = 80531

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 8053 and 8056.

LCM(8053,8056) = 23×191×531×80531
LCM(8053,8056) = 64874968

Factors of 8053

List of positive integer factors of 8053 that divides 8053 without a remainder.

1, 8053

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 8053 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 8053 and 8056, than apply into the LCM equation.

GCF(8053,8056) = 1
LCM(8053,8056) = ( 8053 × 8056) / 1
LCM(8053,8056) = 64874968 / 1
LCM(8053,8056) = 64874968

Properties of LCM 8053 and 8056

(i) The LCM of 8056 and 8053 is associative

LCM of 8053 and 8056 = LCM of 8056 and 8053

Related Least Common Multiples of 8053

Related Least Common Multiples of 8056

Frequently Asked Questions on LCM of 8053 and 8056

1. What is the LCM of 8053 and 8056?

Answer: LCM of 8053 and 8056 is 64874968.

2. What are the Factors of 8053?

Answer: Factors of 8053 are 1, 8053. There are 2 integers that are factors of 8053. The greatest factor of 8053 is 8053.

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 8053 and 8056?

Answer:

Least Common Multiple of 8053 and 8056 = 64874968

Step 1: Find the prime factorization of 8053

8053 = 8053

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 = 64874968 = 2 x 2 x 2 x 19 x 53 x 8053

Step 4: Therefore, the least common multiple of 8053 and 8056 is 64874968.