Least Common Multiple of 8053 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 8053 and 8061 the smallest integer that is 64915233 that is divisible by both numbers.

Least Common Multiple (LCM) of 8053 and 8061 is 64915233.

LCM(8053,8061) = 64915233

LCM of 8053 and 8061

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

LCM of:
and

Least Common Multiple of 8053 and 8061

LCM of 8053 and 8061 is 64915233

Least common multiple can be found by multiplying the highest exponent prime factors of 8053 and 8061. First we will calculate the prime factors of 8053 and 8061.

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 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 8053 and 8061.

LCM(8053,8061) = 31×26871×80531
LCM(8053,8061) = 64915233

Factors of 8053

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

1, 8053

Factors of 8061

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

1, 3, 2687, 8061

Least Common Multiple of 8053 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 8053 and 8061, than apply into the LCM equation.

GCF(8053,8061) = 1
LCM(8053,8061) = ( 8053 × 8061) / 1
LCM(8053,8061) = 64915233 / 1
LCM(8053,8061) = 64915233

Properties of LCM 8053 and 8061

(i) The LCM of 8061 and 8053 is associative

LCM of 8053 and 8061 = LCM of 8061 and 8053

Related Least Common Multiples of 8053

Related Least Common Multiples of 8061

Frequently Asked Questions on LCM of 8053 and 8061

1. What is the LCM of 8053 and 8061?

Answer: LCM of 8053 and 8061 is 64915233.

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 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 8053 and 8061?

Answer:

Least Common Multiple of 8053 and 8061 = 64915233

Step 1: Find the prime factorization of 8053

8053 = 8053

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 = 64915233 = 3 x 2687 x 8053

Step 4: Therefore, the least common multiple of 8053 and 8061 is 64915233.