Least Common Multiple of 10022 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 10022 and 10023 the smallest integer that is 100450506 that is divisible by both numbers.

Least Common Multiple (LCM) of 10022 and 10023 is 100450506.

LCM(10022,10023) = 100450506

LCM of 10022 and 10023

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

LCM of:
and

Least Common Multiple of 10022 and 10023

LCM of 10022 and 10023 is 100450506

Least common multiple can be found by multiplying the highest exponent prime factors of 10022 and 10023. First we will calculate the prime factors of 10022 and 10023.

Prime Factorization of 10022


2 10022
5011 5011
1

Prime factors of 10022 are 2,5011. Prime factorization of 10022 in exponential form is:

10022 = 21×50111

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 10022 and 10023.

LCM(10022,10023) = 21×31×131×2571×50111
LCM(10022,10023) = 100450506

Factors of 10022

List of positive integer factors of 10022 that divides 10022 without a remainder.

1, 2, 5011, 10022

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 10022 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 10022 and 10023, than apply into the LCM equation.

GCF(10022,10023) = 1
LCM(10022,10023) = ( 10022 × 10023) / 1
LCM(10022,10023) = 100450506 / 1
LCM(10022,10023) = 100450506

Properties of LCM 10022 and 10023

(i) The LCM of 10023 and 10022 is associative

LCM of 10022 and 10023 = LCM of 10023 and 10022

Related Least Common Multiples of 10022

Related Least Common Multiples of 10023

Frequently Asked Questions on LCM of 10022 and 10023

1. What is the LCM of 10022 and 10023?

Answer: LCM of 10022 and 10023 is 100450506.

2. What are the Factors of 10022?

Answer: Factors of 10022 are 1, 2, 5011, 10022. There are 4 integers that are factors of 10022. The greatest factor of 10022 is 10022.

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 10022 and 10023?

Answer:

Least Common Multiple of 10022 and 10023 = 100450506

Step 1: Find the prime factorization of 10022

10022 = 2 x 5011

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 = 100450506 = 2 x 3 x 13 x 257 x 5011

Step 4: Therefore, the least common multiple of 10022 and 10023 is 100450506.