Least Common Multiple of 20392 and 20396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20392 and 20396 the smallest integer that is 103978808 that is divisible by both numbers.

Least Common Multiple (LCM) of 20392 and 20396 is 103978808.

LCM(20392,20396) = 103978808

LCM of 20392 and 20396

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

LCM of:
and

Least Common Multiple of 20392 and 20396

LCM of 20392 and 20396 is 103978808

Least common multiple can be found by multiplying the highest exponent prime factors of 20392 and 20396. First we will calculate the prime factors of 20392 and 20396.

Prime Factorization of 20392


2 20392
2 10196
2 5098
2549 2549
1

Prime factors of 20392 are 2,2549. Prime factorization of 20392 in exponential form is:

20392 = 23×25491

Prime Factorization of 20396


2 20396
2 10198
5099 5099
1

Prime factors of 20396 are 2,5099. Prime factorization of 20396 in exponential form is:

20396 = 22×50991

Now multiplying the highest exponent prime factors to calculate the LCM of 20392 and 20396.

LCM(20392,20396) = 23×25491×50991
LCM(20392,20396) = 103978808

Factors of 20392

List of positive integer factors of 20392 that divides 20392 without a remainder.

1, 2, 4, 8, 2549, 5098, 10196, 20392

Factors of 20396

List of positive integer factors of 20396 that divides 20396 without a remainder.

1, 2, 4, 5099, 10198, 20396

Least Common Multiple of 20392 and 20396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20392 and 20396, than apply into the LCM equation.

GCF(20392,20396) = 4
LCM(20392,20396) = ( 20392 × 20396) / 4
LCM(20392,20396) = 415915232 / 4
LCM(20392,20396) = 103978808

Properties of LCM 20392 and 20396

(i) The LCM of 20396 and 20392 is associative

LCM of 20392 and 20396 = LCM of 20396 and 20392

Related Least Common Multiples of 20392

Related Least Common Multiples of 20396

Frequently Asked Questions on LCM of 20392 and 20396

1. What is the LCM of 20392 and 20396?

Answer: LCM of 20392 and 20396 is 103978808.

2. What are the Factors of 20392?

Answer: Factors of 20392 are 1, 2, 4, 8, 2549, 5098, 10196, 20392. There are 8 integers that are factors of 20392. The greatest factor of 20392 is 20392.

3. What are the Factors of 20396?

Answer: Factors of 20396 are 1, 2, 4, 5099, 10198, 20396. There are 6 integers that are factors of 20396. The greatest factor of 20396 is 20396.

4. How to Find the LCM of 20392 and 20396?

Answer:

Least Common Multiple of 20392 and 20396 = 103978808

Step 1: Find the prime factorization of 20392

20392 = 2 x 2 x 2 x 2549

Step 2: Find the prime factorization of 20396

20396 = 2 x 2 x 5099

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

LCM = 103978808 = 2 x 2 x 2 x 2549 x 5099

Step 4: Therefore, the least common multiple of 20392 and 20396 is 103978808.