Least Common Multiple of 10016 and 10019

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 10019 the smallest integer that is 100350304 that is divisible by both numbers.

Least Common Multiple (LCM) of 10016 and 10019 is 100350304.

LCM(10016,10019) = 100350304

LCM of 10016 and 10019

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

LCM of:
and

Least Common Multiple of 10016 and 10019

LCM of 10016 and 10019 is 100350304

Least common multiple can be found by multiplying the highest exponent prime factors of 10016 and 10019. First we will calculate the prime factors of 10016 and 10019.

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 10019


43 10019
233 233
1

Prime factors of 10019 are 43,233. Prime factorization of 10019 in exponential form is:

10019 = 431×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 10016 and 10019.

LCM(10016,10019) = 25×431×2331×3131
LCM(10016,10019) = 100350304

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 10019

List of positive integer factors of 10019 that divides 10019 without a remainder.

1, 43, 233, 10019

Least Common Multiple of 10016 and 10019 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 10019, than apply into the LCM equation.

GCF(10016,10019) = 1
LCM(10016,10019) = ( 10016 × 10019) / 1
LCM(10016,10019) = 100350304 / 1
LCM(10016,10019) = 100350304

Properties of LCM 10016 and 10019

(i) The LCM of 10019 and 10016 is associative

LCM of 10016 and 10019 = LCM of 10019 and 10016

Related Least Common Multiples of 10016

Related Least Common Multiples of 10019

Frequently Asked Questions on LCM of 10016 and 10019

1. What is the LCM of 10016 and 10019?

Answer: LCM of 10016 and 10019 is 100350304.

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 10019?

Answer: Factors of 10019 are 1, 43, 233, 10019. There are 4 integers that are factors of 10019. The greatest factor of 10019 is 10019.

4. How to Find the LCM of 10016 and 10019?

Answer:

Least Common Multiple of 10016 and 10019 = 100350304

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 10019

10019 = 43 x 233

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

LCM = 100350304 = 2 x 2 x 2 x 2 x 2 x 43 x 233 x 313

Step 4: Therefore, the least common multiple of 10016 and 10019 is 100350304.