Least Common Multiple of 10019 and 10026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 10019 and 10026 the smallest integer that is 100450494 that is divisible by both numbers.

Least Common Multiple (LCM) of 10019 and 10026 is 100450494.

LCM(10019,10026) = 100450494

LCM of 10019 and 10026

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

LCM of:
and

Least Common Multiple of 10019 and 10026

LCM of 10019 and 10026 is 100450494

Least common multiple can be found by multiplying the highest exponent prime factors of 10019 and 10026. First we will calculate the prime factors of 10019 and 10026.

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

Prime Factorization of 10026


2 10026
3 5013
3 1671
557 557
1

Prime factors of 10026 are 2, 3,557. Prime factorization of 10026 in exponential form is:

10026 = 21×32×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 10019 and 10026.

LCM(10019,10026) = 21×32×431×2331×5571
LCM(10019,10026) = 100450494

Factors of 10019

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

1, 43, 233, 10019

Factors of 10026

List of positive integer factors of 10026 that divides 10026 without a remainder.

1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026

Least Common Multiple of 10019 and 10026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10019 and 10026, than apply into the LCM equation.

GCF(10019,10026) = 1
LCM(10019,10026) = ( 10019 × 10026) / 1
LCM(10019,10026) = 100450494 / 1
LCM(10019,10026) = 100450494

Properties of LCM 10019 and 10026

(i) The LCM of 10026 and 10019 is associative

LCM of 10019 and 10026 = LCM of 10026 and 10019

Related Least Common Multiples of 10019

Related Least Common Multiples of 10026

Frequently Asked Questions on LCM of 10019 and 10026

1. What is the LCM of 10019 and 10026?

Answer: LCM of 10019 and 10026 is 100450494.

2. 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.

3. What are the Factors of 10026?

Answer: Factors of 10026 are 1, 2, 3, 6, 9, 18, 557, 1114, 1671, 3342, 5013, 10026. There are 12 integers that are factors of 10026. The greatest factor of 10026 is 10026.

4. How to Find the LCM of 10019 and 10026?

Answer:

Least Common Multiple of 10019 and 10026 = 100450494

Step 1: Find the prime factorization of 10019

10019 = 43 x 233

Step 2: Find the prime factorization of 10026

10026 = 2 x 3 x 3 x 557

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

LCM = 100450494 = 2 x 3 x 3 x 43 x 233 x 557

Step 4: Therefore, the least common multiple of 10019 and 10026 is 100450494.