Least Common Multiple of 8015 and 8021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8015 and 8021 the smallest integer that is 64288315 that is divisible by both numbers.

Least Common Multiple (LCM) of 8015 and 8021 is 64288315.

LCM(8015,8021) = 64288315

LCM of 8015 and 8021

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

LCM of:
and

Least Common Multiple of 8015 and 8021

LCM of 8015 and 8021 is 64288315

Least common multiple can be found by multiplying the highest exponent prime factors of 8015 and 8021. First we will calculate the prime factors of 8015 and 8021.

Prime Factorization of 8015


5 8015
7 1603
229 229
1

Prime factors of 8015 are 5, 7,229. Prime factorization of 8015 in exponential form is:

8015 = 51×71×2291

Prime Factorization of 8021


13 8021
617 617
1

Prime factors of 8021 are 13,617. Prime factorization of 8021 in exponential form is:

8021 = 131×6171

Now multiplying the highest exponent prime factors to calculate the LCM of 8015 and 8021.

LCM(8015,8021) = 51×71×131×2291×6171
LCM(8015,8021) = 64288315

Factors of 8015

List of positive integer factors of 8015 that divides 8015 without a remainder.

1, 5, 7, 35, 229, 1145, 1603, 8015

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1, 13, 617, 8021

Least Common Multiple of 8015 and 8021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8015 and 8021, than apply into the LCM equation.

GCF(8015,8021) = 1
LCM(8015,8021) = ( 8015 × 8021) / 1
LCM(8015,8021) = 64288315 / 1
LCM(8015,8021) = 64288315

Properties of LCM 8015 and 8021

(i) The LCM of 8021 and 8015 is associative

LCM of 8015 and 8021 = LCM of 8021 and 8015

Related Least Common Multiples of 8015

Related Least Common Multiples of 8021

Frequently Asked Questions on LCM of 8015 and 8021

1. What is the LCM of 8015 and 8021?

Answer: LCM of 8015 and 8021 is 64288315.

2. What are the Factors of 8015?

Answer: Factors of 8015 are 1, 5, 7, 35, 229, 1145, 1603, 8015. There are 8 integers that are factors of 8015. The greatest factor of 8015 is 8015.

3. What are the Factors of 8021?

Answer: Factors of 8021 are 1, 13, 617, 8021. There are 4 integers that are factors of 8021. The greatest factor of 8021 is 8021.

4. How to Find the LCM of 8015 and 8021?

Answer:

Least Common Multiple of 8015 and 8021 = 64288315

Step 1: Find the prime factorization of 8015

8015 = 5 x 7 x 229

Step 2: Find the prime factorization of 8021

8021 = 13 x 617

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

LCM = 64288315 = 5 x 7 x 13 x 229 x 617

Step 4: Therefore, the least common multiple of 8015 and 8021 is 64288315.