Least Common Multiple of 10007 and 10009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10007 and 10009 the smallest integer that is 100160063 that is divisible by both numbers.

Least Common Multiple (LCM) of 10007 and 10009 is 100160063.

LCM(10007,10009) = 100160063

LCM of 10007 and 10009

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

LCM of:
and

Least Common Multiple of 10007 and 10009

LCM of 10007 and 10009 is 100160063

Least common multiple can be found by multiplying the highest exponent prime factors of 10007 and 10009. First we will calculate the prime factors of 10007 and 10009.

Prime Factorization of 10007


10007 10007
1

Prime factors of 10007 are 10007. Prime factorization of 10007 in exponential form is:

10007 = 100071

Prime Factorization of 10009


10009 10009
1

Prime factors of 10009 are 10009. Prime factorization of 10009 in exponential form is:

10009 = 100091

Now multiplying the highest exponent prime factors to calculate the LCM of 10007 and 10009.

LCM(10007,10009) = 100071×100091
LCM(10007,10009) = 100160063

Factors of 10007

List of positive integer factors of 10007 that divides 10007 without a remainder.

1, 10007

Factors of 10009

List of positive integer factors of 10009 that divides 10009 without a remainder.

1, 10009

Least Common Multiple of 10007 and 10009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10007 and 10009, than apply into the LCM equation.

GCF(10007,10009) = 1
LCM(10007,10009) = ( 10007 × 10009) / 1
LCM(10007,10009) = 100160063 / 1
LCM(10007,10009) = 100160063

Properties of LCM 10007 and 10009

(i) The LCM of 10009 and 10007 is associative

LCM of 10007 and 10009 = LCM of 10009 and 10007

Related Least Common Multiples of 10007

Related Least Common Multiples of 10009

Frequently Asked Questions on LCM of 10007 and 10009

1. What is the LCM of 10007 and 10009?

Answer: LCM of 10007 and 10009 is 100160063.

2. What are the Factors of 10007?

Answer: Factors of 10007 are 1, 10007. There are 2 integers that are factors of 10007. The greatest factor of 10007 is 10007.

3. What are the Factors of 10009?

Answer: Factors of 10009 are 1, 10009. There are 2 integers that are factors of 10009. The greatest factor of 10009 is 10009.

4. How to Find the LCM of 10007 and 10009?

Answer:

Least Common Multiple of 10007 and 10009 = 100160063

Step 1: Find the prime factorization of 10007

10007 = 10007

Step 2: Find the prime factorization of 10009

10009 = 10009

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

LCM = 100160063 = 10007 x 10009

Step 4: Therefore, the least common multiple of 10007 and 10009 is 100160063.