Least Common Multiple of 10007 and 10015

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 10015 the smallest integer that is 100220105 that is divisible by both numbers.

Least Common Multiple (LCM) of 10007 and 10015 is 100220105.

LCM(10007,10015) = 100220105

LCM of 10007 and 10015

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

LCM of:
and

Least Common Multiple of 10007 and 10015

LCM of 10007 and 10015 is 100220105

Least common multiple can be found by multiplying the highest exponent prime factors of 10007 and 10015. First we will calculate the prime factors of 10007 and 10015.

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 10015


5 10015
2003 2003
1

Prime factors of 10015 are 5,2003. Prime factorization of 10015 in exponential form is:

10015 = 51×20031

Now multiplying the highest exponent prime factors to calculate the LCM of 10007 and 10015.

LCM(10007,10015) = 51×20031×100071
LCM(10007,10015) = 100220105

Factors of 10007

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

1, 10007

Factors of 10015

List of positive integer factors of 10015 that divides 10015 without a remainder.

1, 5, 2003, 10015

Least Common Multiple of 10007 and 10015 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 10015, than apply into the LCM equation.

GCF(10007,10015) = 1
LCM(10007,10015) = ( 10007 × 10015) / 1
LCM(10007,10015) = 100220105 / 1
LCM(10007,10015) = 100220105

Properties of LCM 10007 and 10015

(i) The LCM of 10015 and 10007 is associative

LCM of 10007 and 10015 = LCM of 10015 and 10007

Related Least Common Multiples of 10007

Related Least Common Multiples of 10015

Frequently Asked Questions on LCM of 10007 and 10015

1. What is the LCM of 10007 and 10015?

Answer: LCM of 10007 and 10015 is 100220105.

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 10015?

Answer: Factors of 10015 are 1, 5, 2003, 10015. There are 4 integers that are factors of 10015. The greatest factor of 10015 is 10015.

4. How to Find the LCM of 10007 and 10015?

Answer:

Least Common Multiple of 10007 and 10015 = 100220105

Step 1: Find the prime factorization of 10007

10007 = 10007

Step 2: Find the prime factorization of 10015

10015 = 5 x 2003

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

LCM = 100220105 = 5 x 2003 x 10007

Step 4: Therefore, the least common multiple of 10007 and 10015 is 100220105.