Least Common Multiple of 20388 and 20392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20388 and 20392 the smallest integer that is 103938024 that is divisible by both numbers.

Least Common Multiple (LCM) of 20388 and 20392 is 103938024.

LCM(20388,20392) = 103938024

LCM of 20388 and 20392

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

LCM of:
and

Least Common Multiple of 20388 and 20392

LCM of 20388 and 20392 is 103938024

Least common multiple can be found by multiplying the highest exponent prime factors of 20388 and 20392. First we will calculate the prime factors of 20388 and 20392.

Prime Factorization of 20388


2 20388
2 10194
3 5097
1699 1699
1

Prime factors of 20388 are 2, 3,1699. Prime factorization of 20388 in exponential form is:

20388 = 22×31×16991

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

Now multiplying the highest exponent prime factors to calculate the LCM of 20388 and 20392.

LCM(20388,20392) = 23×31×16991×25491
LCM(20388,20392) = 103938024

Factors of 20388

List of positive integer factors of 20388 that divides 20388 without a remainder.

1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796, 10194, 20388

Factors of 20392

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

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

Least Common Multiple of 20388 and 20392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20388 and 20392, than apply into the LCM equation.

GCF(20388,20392) = 4
LCM(20388,20392) = ( 20388 × 20392) / 4
LCM(20388,20392) = 415752096 / 4
LCM(20388,20392) = 103938024

Properties of LCM 20388 and 20392

(i) The LCM of 20392 and 20388 is associative

LCM of 20388 and 20392 = LCM of 20392 and 20388

Related Least Common Multiples of 20388

Related Least Common Multiples of 20392

Frequently Asked Questions on LCM of 20388 and 20392

1. What is the LCM of 20388 and 20392?

Answer: LCM of 20388 and 20392 is 103938024.

2. What are the Factors of 20388?

Answer: Factors of 20388 are 1, 2, 3, 4, 6, 12, 1699, 3398, 5097, 6796, 10194, 20388. There are 12 integers that are factors of 20388. The greatest factor of 20388 is 20388.

3. 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.

4. How to Find the LCM of 20388 and 20392?

Answer:

Least Common Multiple of 20388 and 20392 = 103938024

Step 1: Find the prime factorization of 20388

20388 = 2 x 2 x 3 x 1699

Step 2: Find the prime factorization of 20392

20392 = 2 x 2 x 2 x 2549

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

LCM = 103938024 = 2 x 2 x 2 x 3 x 1699 x 2549

Step 4: Therefore, the least common multiple of 20388 and 20392 is 103938024.