Least Common Multiple of 10015 and 10023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10015 and 10023 the smallest integer that is 100380345 that is divisible by both numbers.

Least Common Multiple (LCM) of 10015 and 10023 is 100380345.

LCM(10015,10023) = 100380345

LCM of 10015 and 10023

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

LCM of:
and

Least Common Multiple of 10015 and 10023

LCM of 10015 and 10023 is 100380345

Least common multiple can be found by multiplying the highest exponent prime factors of 10015 and 10023. First we will calculate the prime factors of 10015 and 10023.

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

Prime Factorization of 10023


3 10023
13 3341
257 257
1

Prime factors of 10023 are 3, 13,257. Prime factorization of 10023 in exponential form is:

10023 = 31×131×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 10015 and 10023.

LCM(10015,10023) = 31×51×131×2571×20031
LCM(10015,10023) = 100380345

Factors of 10015

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

1, 5, 2003, 10015

Factors of 10023

List of positive integer factors of 10023 that divides 10023 without a remainder.

1, 3, 13, 39, 257, 771, 3341, 10023

Least Common Multiple of 10015 and 10023 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10015 and 10023, than apply into the LCM equation.

GCF(10015,10023) = 1
LCM(10015,10023) = ( 10015 × 10023) / 1
LCM(10015,10023) = 100380345 / 1
LCM(10015,10023) = 100380345

Properties of LCM 10015 and 10023

(i) The LCM of 10023 and 10015 is associative

LCM of 10015 and 10023 = LCM of 10023 and 10015

Related Least Common Multiples of 10015

Related Least Common Multiples of 10023

Frequently Asked Questions on LCM of 10015 and 10023

1. What is the LCM of 10015 and 10023?

Answer: LCM of 10015 and 10023 is 100380345.

2. 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.

3. What are the Factors of 10023?

Answer: Factors of 10023 are 1, 3, 13, 39, 257, 771, 3341, 10023. There are 8 integers that are factors of 10023. The greatest factor of 10023 is 10023.

4. How to Find the LCM of 10015 and 10023?

Answer:

Least Common Multiple of 10015 and 10023 = 100380345

Step 1: Find the prime factorization of 10015

10015 = 5 x 2003

Step 2: Find the prime factorization of 10023

10023 = 3 x 13 x 257

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

LCM = 100380345 = 3 x 5 x 13 x 257 x 2003

Step 4: Therefore, the least common multiple of 10015 and 10023 is 100380345.