Least Common Multiple of 10016 and 10022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10016 and 10022 the smallest integer that is 50190176 that is divisible by both numbers.

Least Common Multiple (LCM) of 10016 and 10022 is 50190176.

LCM(10016,10022) = 50190176

LCM of 10016 and 10022

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

LCM of:
and

Least Common Multiple of 10016 and 10022

LCM of 10016 and 10022 is 50190176

Least common multiple can be found by multiplying the highest exponent prime factors of 10016 and 10022. First we will calculate the prime factors of 10016 and 10022.

Prime Factorization of 10016


2 10016
2 5008
2 2504
2 1252
2 626
313 313
1

Prime factors of 10016 are 2,313. Prime factorization of 10016 in exponential form is:

10016 = 25×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 10016 and 10022.

LCM(10016,10022) = 25×3131×50111
LCM(10016,10022) = 50190176

Factors of 10016

List of positive integer factors of 10016 that divides 10016 without a remainder.

1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016

Factors of 10022

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

1, 2, 5011, 10022

Least Common Multiple of 10016 and 10022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10016 and 10022, than apply into the LCM equation.

GCF(10016,10022) = 2
LCM(10016,10022) = ( 10016 × 10022) / 2
LCM(10016,10022) = 100380352 / 2
LCM(10016,10022) = 50190176

Properties of LCM 10016 and 10022

(i) The LCM of 10022 and 10016 is associative

LCM of 10016 and 10022 = LCM of 10022 and 10016

Related Least Common Multiples of 10016

Related Least Common Multiples of 10022

Frequently Asked Questions on LCM of 10016 and 10022

1. What is the LCM of 10016 and 10022?

Answer: LCM of 10016 and 10022 is 50190176.

2. What are the Factors of 10016?

Answer: Factors of 10016 are 1, 2, 4, 8, 16, 32, 313, 626, 1252, 2504, 5008, 10016. There are 12 integers that are factors of 10016. The greatest factor of 10016 is 10016.

3. 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.

4. How to Find the LCM of 10016 and 10022?

Answer:

Least Common Multiple of 10016 and 10022 = 50190176

Step 1: Find the prime factorization of 10016

10016 = 2 x 2 x 2 x 2 x 2 x 313

Step 2: Find the prime factorization of 10022

10022 = 2 x 5011

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

LCM = 50190176 = 2 x 2 x 2 x 2 x 2 x 313 x 5011

Step 4: Therefore, the least common multiple of 10016 and 10022 is 50190176.