Least Common Multiple of 20420 and 20427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20420 and 20427 the smallest integer that is 417119340 that is divisible by both numbers.

Least Common Multiple (LCM) of 20420 and 20427 is 417119340.

LCM(20420,20427) = 417119340

LCM of 20420 and 20427

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

LCM of:
and

Least Common Multiple of 20420 and 20427

LCM of 20420 and 20427 is 417119340

Least common multiple can be found by multiplying the highest exponent prime factors of 20420 and 20427. First we will calculate the prime factors of 20420 and 20427.

Prime Factorization of 20420


2 20420
2 10210
5 5105
1021 1021
1

Prime factors of 20420 are 2, 5,1021. Prime factorization of 20420 in exponential form is:

20420 = 22×51×10211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 20420 and 20427.

LCM(20420,20427) = 22×31×51×111×6191×10211
LCM(20420,20427) = 417119340

Factors of 20420

List of positive integer factors of 20420 that divides 20420 without a remainder.

1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420

Factors of 20427

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

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

Least Common Multiple of 20420 and 20427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20420 and 20427, than apply into the LCM equation.

GCF(20420,20427) = 1
LCM(20420,20427) = ( 20420 × 20427) / 1
LCM(20420,20427) = 417119340 / 1
LCM(20420,20427) = 417119340

Properties of LCM 20420 and 20427

(i) The LCM of 20427 and 20420 is associative

LCM of 20420 and 20427 = LCM of 20427 and 20420

Related Least Common Multiples of 20420

Related Least Common Multiples of 20427

Frequently Asked Questions on LCM of 20420 and 20427

1. What is the LCM of 20420 and 20427?

Answer: LCM of 20420 and 20427 is 417119340.

2. What are the Factors of 20420?

Answer: Factors of 20420 are 1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420. There are 12 integers that are factors of 20420. The greatest factor of 20420 is 20420.

3. 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.

4. How to Find the LCM of 20420 and 20427?

Answer:

Least Common Multiple of 20420 and 20427 = 417119340

Step 1: Find the prime factorization of 20420

20420 = 2 x 2 x 5 x 1021

Step 2: Find the prime factorization of 20427

20427 = 3 x 11 x 619

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

LCM = 417119340 = 2 x 2 x 3 x 5 x 11 x 619 x 1021

Step 4: Therefore, the least common multiple of 20420 and 20427 is 417119340.