Least Common Multiple of 8016 and 8020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8016 and 8020 the smallest integer that is 16072080 that is divisible by both numbers.

Least Common Multiple (LCM) of 8016 and 8020 is 16072080.

LCM(8016,8020) = 16072080

LCM of 8016 and 8020

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

LCM of:
and

Least Common Multiple of 8016 and 8020

LCM of 8016 and 8020 is 16072080

Least common multiple can be found by multiplying the highest exponent prime factors of 8016 and 8020. First we will calculate the prime factors of 8016 and 8020.

Prime Factorization of 8016


2 8016
2 4008
2 2004
2 1002
3 501
167 167
1

Prime factors of 8016 are 2, 3,167. Prime factorization of 8016 in exponential form is:

8016 = 24×31×1671

Prime Factorization of 8020


2 8020
2 4010
5 2005
401 401
1

Prime factors of 8020 are 2, 5,401. Prime factorization of 8020 in exponential form is:

8020 = 22×51×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 8016 and 8020.

LCM(8016,8020) = 24×31×51×1671×4011
LCM(8016,8020) = 16072080

Factors of 8016

List of positive integer factors of 8016 that divides 8016 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016

Factors of 8020

List of positive integer factors of 8020 that divides 8020 without a remainder.

1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020

Least Common Multiple of 8016 and 8020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8016 and 8020, than apply into the LCM equation.

GCF(8016,8020) = 4
LCM(8016,8020) = ( 8016 × 8020) / 4
LCM(8016,8020) = 64288320 / 4
LCM(8016,8020) = 16072080

Properties of LCM 8016 and 8020

(i) The LCM of 8020 and 8016 is associative

LCM of 8016 and 8020 = LCM of 8020 and 8016

Related Least Common Multiples of 8016

Related Least Common Multiples of 8020

Frequently Asked Questions on LCM of 8016 and 8020

1. What is the LCM of 8016 and 8020?

Answer: LCM of 8016 and 8020 is 16072080.

2. What are the Factors of 8016?

Answer: Factors of 8016 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 167, 334, 501, 668, 1002, 1336, 2004, 2672, 4008, 8016. There are 20 integers that are factors of 8016. The greatest factor of 8016 is 8016.

3. What are the Factors of 8020?

Answer: Factors of 8020 are 1, 2, 4, 5, 10, 20, 401, 802, 1604, 2005, 4010, 8020. There are 12 integers that are factors of 8020. The greatest factor of 8020 is 8020.

4. How to Find the LCM of 8016 and 8020?

Answer:

Least Common Multiple of 8016 and 8020 = 16072080

Step 1: Find the prime factorization of 8016

8016 = 2 x 2 x 2 x 2 x 3 x 167

Step 2: Find the prime factorization of 8020

8020 = 2 x 2 x 5 x 401

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

LCM = 16072080 = 2 x 2 x 2 x 2 x 3 x 5 x 167 x 401

Step 4: Therefore, the least common multiple of 8016 and 8020 is 16072080.