Least Common Multiple of 10002 and 10010

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10002 and 10010 the smallest integer that is 50060010 that is divisible by both numbers.

Least Common Multiple (LCM) of 10002 and 10010 is 50060010.

LCM(10002,10010) = 50060010

LCM of 10002 and 10010

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

LCM of:
and

Least Common Multiple of 10002 and 10010

LCM of 10002 and 10010 is 50060010

Least common multiple can be found by multiplying the highest exponent prime factors of 10002 and 10010. First we will calculate the prime factors of 10002 and 10010.

Prime Factorization of 10002


2 10002
3 5001
1667 1667
1

Prime factors of 10002 are 2, 3,1667. Prime factorization of 10002 in exponential form is:

10002 = 21×31×16671

Prime Factorization of 10010


2 10010
5 5005
7 1001
11 143
13 13
1

Prime factors of 10010 are 2, 5, 7, 11,13. Prime factorization of 10010 in exponential form is:

10010 = 21×51×71×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 10002 and 10010.

LCM(10002,10010) = 21×31×51×71×111×131×16671
LCM(10002,10010) = 50060010

Factors of 10002

List of positive integer factors of 10002 that divides 10002 without a remainder.

1, 2, 3, 6, 1667, 3334, 5001, 10002

Factors of 10010

List of positive integer factors of 10010 that divides 10010 without a remainder.

1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010

Least Common Multiple of 10002 and 10010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10002 and 10010, than apply into the LCM equation.

GCF(10002,10010) = 2
LCM(10002,10010) = ( 10002 × 10010) / 2
LCM(10002,10010) = 100120020 / 2
LCM(10002,10010) = 50060010

Properties of LCM 10002 and 10010

(i) The LCM of 10010 and 10002 is associative

LCM of 10002 and 10010 = LCM of 10010 and 10002

Related Least Common Multiples of 10002

Related Least Common Multiples of 10010

Frequently Asked Questions on LCM of 10002 and 10010

1. What is the LCM of 10002 and 10010?

Answer: LCM of 10002 and 10010 is 50060010.

2. What are the Factors of 10002?

Answer: Factors of 10002 are 1, 2, 3, 6, 1667, 3334, 5001, 10002. There are 8 integers that are factors of 10002. The greatest factor of 10002 is 10002.

3. What are the Factors of 10010?

Answer: Factors of 10010 are 1, 2, 5, 7, 10, 11, 13, 14, 22, 26, 35, 55, 65, 70, 77, 91, 110, 130, 143, 154, 182, 286, 385, 455, 715, 770, 910, 1001, 1430, 2002, 5005, 10010. There are 32 integers that are factors of 10010. The greatest factor of 10010 is 10010.

4. How to Find the LCM of 10002 and 10010?

Answer:

Least Common Multiple of 10002 and 10010 = 50060010

Step 1: Find the prime factorization of 10002

10002 = 2 x 3 x 1667

Step 2: Find the prime factorization of 10010

10010 = 2 x 5 x 7 x 11 x 13

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

LCM = 50060010 = 2 x 3 x 5 x 7 x 11 x 13 x 1667

Step 4: Therefore, the least common multiple of 10002 and 10010 is 50060010.