Least Common Multiple of 20399 and 20404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20399 and 20404 the smallest integer that is 416221196 that is divisible by both numbers.

Least Common Multiple (LCM) of 20399 and 20404 is 416221196.

LCM(20399,20404) = 416221196

LCM of 20399 and 20404

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

LCM of:
and

Least Common Multiple of 20399 and 20404

LCM of 20399 and 20404 is 416221196

Least common multiple can be found by multiplying the highest exponent prime factors of 20399 and 20404. First we will calculate the prime factors of 20399 and 20404.

Prime Factorization of 20399


20399 20399
1

Prime factors of 20399 are 20399. Prime factorization of 20399 in exponential form is:

20399 = 203991

Prime Factorization of 20404


2 20404
2 10202
5101 5101
1

Prime factors of 20404 are 2,5101. Prime factorization of 20404 in exponential form is:

20404 = 22×51011

Now multiplying the highest exponent prime factors to calculate the LCM of 20399 and 20404.

LCM(20399,20404) = 22×51011×203991
LCM(20399,20404) = 416221196

Factors of 20399

List of positive integer factors of 20399 that divides 20399 without a remainder.

1, 20399

Factors of 20404

List of positive integer factors of 20404 that divides 20404 without a remainder.

1, 2, 4, 5101, 10202, 20404

Least Common Multiple of 20399 and 20404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20399 and 20404, than apply into the LCM equation.

GCF(20399,20404) = 1
LCM(20399,20404) = ( 20399 × 20404) / 1
LCM(20399,20404) = 416221196 / 1
LCM(20399,20404) = 416221196

Properties of LCM 20399 and 20404

(i) The LCM of 20404 and 20399 is associative

LCM of 20399 and 20404 = LCM of 20404 and 20399

Related Least Common Multiples of 20399

Related Least Common Multiples of 20404

Frequently Asked Questions on LCM of 20399 and 20404

1. What is the LCM of 20399 and 20404?

Answer: LCM of 20399 and 20404 is 416221196.

2. What are the Factors of 20399?

Answer: Factors of 20399 are 1, 20399. There are 2 integers that are factors of 20399. The greatest factor of 20399 is 20399.

3. What are the Factors of 20404?

Answer: Factors of 20404 are 1, 2, 4, 5101, 10202, 20404. There are 6 integers that are factors of 20404. The greatest factor of 20404 is 20404.

4. How to Find the LCM of 20399 and 20404?

Answer:

Least Common Multiple of 20399 and 20404 = 416221196

Step 1: Find the prime factorization of 20399

20399 = 20399

Step 2: Find the prime factorization of 20404

20404 = 2 x 2 x 5101

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

LCM = 416221196 = 2 x 2 x 5101 x 20399

Step 4: Therefore, the least common multiple of 20399 and 20404 is 416221196.