Least Common Multiple of 8005 and 8010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8005 and 8010 the smallest integer that is 12824010 that is divisible by both numbers.

Least Common Multiple (LCM) of 8005 and 8010 is 12824010.

LCM(8005,8010) = 12824010

LCM of 8005 and 8010

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

LCM of:
and

Least Common Multiple of 8005 and 8010

LCM of 8005 and 8010 is 12824010

Least common multiple can be found by multiplying the highest exponent prime factors of 8005 and 8010. First we will calculate the prime factors of 8005 and 8010.

Prime Factorization of 8005


5 8005
1601 1601
1

Prime factors of 8005 are 5,1601. Prime factorization of 8005 in exponential form is:

8005 = 51×16011

Prime Factorization of 8010


2 8010
3 4005
3 1335
5 445
89 89
1

Prime factors of 8010 are 2, 3, 5,89. Prime factorization of 8010 in exponential form is:

8010 = 21×32×51×891

Now multiplying the highest exponent prime factors to calculate the LCM of 8005 and 8010.

LCM(8005,8010) = 21×32×51×891×16011
LCM(8005,8010) = 12824010

Factors of 8005

List of positive integer factors of 8005 that divides 8005 without a remainder.

1, 5, 1601, 8005

Factors of 8010

List of positive integer factors of 8010 that divides 8010 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010

Least Common Multiple of 8005 and 8010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8005 and 8010, than apply into the LCM equation.

GCF(8005,8010) = 5
LCM(8005,8010) = ( 8005 × 8010) / 5
LCM(8005,8010) = 64120050 / 5
LCM(8005,8010) = 12824010

Properties of LCM 8005 and 8010

(i) The LCM of 8010 and 8005 is associative

LCM of 8005 and 8010 = LCM of 8010 and 8005

Related Least Common Multiples of 8005

Related Least Common Multiples of 8010

Frequently Asked Questions on LCM of 8005 and 8010

1. What is the LCM of 8005 and 8010?

Answer: LCM of 8005 and 8010 is 12824010.

2. What are the Factors of 8005?

Answer: Factors of 8005 are 1, 5, 1601, 8005. There are 4 integers that are factors of 8005. The greatest factor of 8005 is 8005.

3. What are the Factors of 8010?

Answer: Factors of 8010 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 89, 90, 178, 267, 445, 534, 801, 890, 1335, 1602, 2670, 4005, 8010. There are 24 integers that are factors of 8010. The greatest factor of 8010 is 8010.

4. How to Find the LCM of 8005 and 8010?

Answer:

Least Common Multiple of 8005 and 8010 = 12824010

Step 1: Find the prime factorization of 8005

8005 = 5 x 1601

Step 2: Find the prime factorization of 8010

8010 = 2 x 3 x 3 x 5 x 89

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

LCM = 12824010 = 2 x 3 x 3 x 5 x 89 x 1601

Step 4: Therefore, the least common multiple of 8005 and 8010 is 12824010.