Least Common Multiple of 20427 and 20433

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20427 and 20433 the smallest integer that is 139128297 that is divisible by both numbers.

Least Common Multiple (LCM) of 20427 and 20433 is 139128297.

LCM(20427,20433) = 139128297

LCM of 20427 and 20433

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

LCM of:
and

Least Common Multiple of 20427 and 20433

LCM of 20427 and 20433 is 139128297

Least common multiple can be found by multiplying the highest exponent prime factors of 20427 and 20433. First we will calculate the prime factors of 20427 and 20433.

Prime Factorization of 20427


3 20427
11 6809
619 619
1

Prime factors of 20427 are 3, 11,619. Prime factorization of 20427 in exponential form is:

20427 = 31×111×6191

Prime Factorization of 20433


3 20433
7 6811
7 973
139 139
1

Prime factors of 20433 are 3, 7,139. Prime factorization of 20433 in exponential form is:

20433 = 31×72×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 20427 and 20433.

LCM(20427,20433) = 31×72×111×1391×6191
LCM(20427,20433) = 139128297

Factors of 20427

List of positive integer factors of 20427 that divides 20427 without a remainder.

1, 3, 11, 33, 619, 1857, 6809, 20427

Factors of 20433

List of positive integer factors of 20433 that divides 20433 without a remainder.

1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433

Least Common Multiple of 20427 and 20433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20427 and 20433, than apply into the LCM equation.

GCF(20427,20433) = 3
LCM(20427,20433) = ( 20427 × 20433) / 3
LCM(20427,20433) = 417384891 / 3
LCM(20427,20433) = 139128297

Properties of LCM 20427 and 20433

(i) The LCM of 20433 and 20427 is associative

LCM of 20427 and 20433 = LCM of 20433 and 20427

Related Least Common Multiples of 20427

Related Least Common Multiples of 20433

Frequently Asked Questions on LCM of 20427 and 20433

1. What is the LCM of 20427 and 20433?

Answer: LCM of 20427 and 20433 is 139128297.

2. What are the Factors of 20427?

Answer: Factors of 20427 are 1, 3, 11, 33, 619, 1857, 6809, 20427. There are 8 integers that are factors of 20427. The greatest factor of 20427 is 20427.

3. What are the Factors of 20433?

Answer: Factors of 20433 are 1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433. There are 12 integers that are factors of 20433. The greatest factor of 20433 is 20433.

4. How to Find the LCM of 20427 and 20433?

Answer:

Least Common Multiple of 20427 and 20433 = 139128297

Step 1: Find the prime factorization of 20427

20427 = 3 x 11 x 619

Step 2: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

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

LCM = 139128297 = 3 x 7 x 7 x 11 x 139 x 619

Step 4: Therefore, the least common multiple of 20427 and 20433 is 139128297.