Least Common Multiple of 10016 and 10024

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 10024 the smallest integer that is 12550048 that is divisible by both numbers.

Least Common Multiple (LCM) of 10016 and 10024 is 12550048.

LCM(10016,10024) = 12550048

LCM of 10016 and 10024

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

LCM of:
and

Least Common Multiple of 10016 and 10024

LCM of 10016 and 10024 is 12550048

Least common multiple can be found by multiplying the highest exponent prime factors of 10016 and 10024. First we will calculate the prime factors of 10016 and 10024.

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 10024


2 10024
2 5012
2 2506
7 1253
179 179
1

Prime factors of 10024 are 2, 7,179. Prime factorization of 10024 in exponential form is:

10024 = 23×71×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 10016 and 10024.

LCM(10016,10024) = 25×71×1791×3131
LCM(10016,10024) = 12550048

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 10024

List of positive integer factors of 10024 that divides 10024 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012, 10024

Least Common Multiple of 10016 and 10024 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 10024, than apply into the LCM equation.

GCF(10016,10024) = 8
LCM(10016,10024) = ( 10016 × 10024) / 8
LCM(10016,10024) = 100400384 / 8
LCM(10016,10024) = 12550048

Properties of LCM 10016 and 10024

(i) The LCM of 10024 and 10016 is associative

LCM of 10016 and 10024 = LCM of 10024 and 10016

Related Least Common Multiples of 10016

Related Least Common Multiples of 10024

Frequently Asked Questions on LCM of 10016 and 10024

1. What is the LCM of 10016 and 10024?

Answer: LCM of 10016 and 10024 is 12550048.

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 10024?

Answer: Factors of 10024 are 1, 2, 4, 7, 8, 14, 28, 56, 179, 358, 716, 1253, 1432, 2506, 5012, 10024. There are 16 integers that are factors of 10024. The greatest factor of 10024 is 10024.

4. How to Find the LCM of 10016 and 10024?

Answer:

Least Common Multiple of 10016 and 10024 = 12550048

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 10024

10024 = 2 x 2 x 2 x 7 x 179

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

LCM = 12550048 = 2 x 2 x 2 x 2 x 2 x 7 x 179 x 313

Step 4: Therefore, the least common multiple of 10016 and 10024 is 12550048.