Least Common Multiple of 20427 and 20432

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 20432 the smallest integer that is 417364464 that is divisible by both numbers.

Least Common Multiple (LCM) of 20427 and 20432 is 417364464.

LCM(20427,20432) = 417364464

LCM of 20427 and 20432

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

LCM of:
and

Least Common Multiple of 20427 and 20432

LCM of 20427 and 20432 is 417364464

Least common multiple can be found by multiplying the highest exponent prime factors of 20427 and 20432. First we will calculate the prime factors of 20427 and 20432.

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 20432


2 20432
2 10216
2 5108
2 2554
1277 1277
1

Prime factors of 20432 are 2,1277. Prime factorization of 20432 in exponential form is:

20432 = 24×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 20427 and 20432.

LCM(20427,20432) = 24×31×111×6191×12771
LCM(20427,20432) = 417364464

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 20432

List of positive integer factors of 20432 that divides 20432 without a remainder.

1, 2, 4, 8, 16, 1277, 2554, 5108, 10216, 20432

Least Common Multiple of 20427 and 20432 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 20432, than apply into the LCM equation.

GCF(20427,20432) = 1
LCM(20427,20432) = ( 20427 × 20432) / 1
LCM(20427,20432) = 417364464 / 1
LCM(20427,20432) = 417364464

Properties of LCM 20427 and 20432

(i) The LCM of 20432 and 20427 is associative

LCM of 20427 and 20432 = LCM of 20432 and 20427

Related Least Common Multiples of 20427

Related Least Common Multiples of 20432

Frequently Asked Questions on LCM of 20427 and 20432

1. What is the LCM of 20427 and 20432?

Answer: LCM of 20427 and 20432 is 417364464.

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 20432?

Answer: Factors of 20432 are 1, 2, 4, 8, 16, 1277, 2554, 5108, 10216, 20432. There are 10 integers that are factors of 20432. The greatest factor of 20432 is 20432.

4. How to Find the LCM of 20427 and 20432?

Answer:

Least Common Multiple of 20427 and 20432 = 417364464

Step 1: Find the prime factorization of 20427

20427 = 3 x 11 x 619

Step 2: Find the prime factorization of 20432

20432 = 2 x 2 x 2 x 2 x 1277

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

LCM = 417364464 = 2 x 2 x 2 x 2 x 3 x 11 x 619 x 1277

Step 4: Therefore, the least common multiple of 20427 and 20432 is 417364464.