Least Common Multiple of 8004 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 8004 and 8010 the smallest integer that is 10685340 that is divisible by both numbers.

Least Common Multiple (LCM) of 8004 and 8010 is 10685340.

LCM(8004,8010) = 10685340

LCM of 8004 and 8010

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

LCM of:
and

Least Common Multiple of 8004 and 8010

LCM of 8004 and 8010 is 10685340

Least common multiple can be found by multiplying the highest exponent prime factors of 8004 and 8010. First we will calculate the prime factors of 8004 and 8010.

Prime Factorization of 8004


2 8004
2 4002
3 2001
23 667
29 29
1

Prime factors of 8004 are 2, 3, 23,29. Prime factorization of 8004 in exponential form is:

8004 = 22×31×231×291

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 8004 and 8010.

LCM(8004,8010) = 22×32×51×231×291×891
LCM(8004,8010) = 10685340

Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004

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 8004 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 8004 and 8010, than apply into the LCM equation.

GCF(8004,8010) = 6
LCM(8004,8010) = ( 8004 × 8010) / 6
LCM(8004,8010) = 64112040 / 6
LCM(8004,8010) = 10685340

Properties of LCM 8004 and 8010

(i) The LCM of 8010 and 8004 is associative

LCM of 8004 and 8010 = LCM of 8010 and 8004

Related Least Common Multiples of 8004

Related Least Common Multiples of 8010

Frequently Asked Questions on LCM of 8004 and 8010

1. What is the LCM of 8004 and 8010?

Answer: LCM of 8004 and 8010 is 10685340.

2. What are the Factors of 8004?

Answer: Factors of 8004 are 1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002, 8004. There are 24 integers that are factors of 8004. The greatest factor of 8004 is 8004.

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 8004 and 8010?

Answer:

Least Common Multiple of 8004 and 8010 = 10685340

Step 1: Find the prime factorization of 8004

8004 = 2 x 2 x 3 x 23 x 29

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 = 10685340 = 2 x 2 x 3 x 3 x 5 x 23 x 29 x 89

Step 4: Therefore, the least common multiple of 8004 and 8010 is 10685340.