Least Common Multiple of 20404 and 20409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20404 and 20409 the smallest integer that is 416425236 that is divisible by both numbers.

Least Common Multiple (LCM) of 20404 and 20409 is 416425236.

LCM(20404,20409) = 416425236

LCM of 20404 and 20409

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

LCM of:
and

Least Common Multiple of 20404 and 20409

LCM of 20404 and 20409 is 416425236

Least common multiple can be found by multiplying the highest exponent prime factors of 20404 and 20409. First we will calculate the prime factors of 20404 and 20409.

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

Prime Factorization of 20409


3 20409
6803 6803
1

Prime factors of 20409 are 3,6803. Prime factorization of 20409 in exponential form is:

20409 = 31×68031

Now multiplying the highest exponent prime factors to calculate the LCM of 20404 and 20409.

LCM(20404,20409) = 22×31×51011×68031
LCM(20404,20409) = 416425236

Factors of 20404

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

1, 2, 4, 5101, 10202, 20404

Factors of 20409

List of positive integer factors of 20409 that divides 20409 without a remainder.

1, 3, 6803, 20409

Least Common Multiple of 20404 and 20409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20404 and 20409, than apply into the LCM equation.

GCF(20404,20409) = 1
LCM(20404,20409) = ( 20404 × 20409) / 1
LCM(20404,20409) = 416425236 / 1
LCM(20404,20409) = 416425236

Properties of LCM 20404 and 20409

(i) The LCM of 20409 and 20404 is associative

LCM of 20404 and 20409 = LCM of 20409 and 20404

Related Least Common Multiples of 20404

Related Least Common Multiples of 20409

Frequently Asked Questions on LCM of 20404 and 20409

1. What is the LCM of 20404 and 20409?

Answer: LCM of 20404 and 20409 is 416425236.

2. 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.

3. What are the Factors of 20409?

Answer: Factors of 20409 are 1, 3, 6803, 20409. There are 4 integers that are factors of 20409. The greatest factor of 20409 is 20409.

4. How to Find the LCM of 20404 and 20409?

Answer:

Least Common Multiple of 20404 and 20409 = 416425236

Step 1: Find the prime factorization of 20404

20404 = 2 x 2 x 5101

Step 2: Find the prime factorization of 20409

20409 = 3 x 6803

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

LCM = 416425236 = 2 x 2 x 3 x 5101 x 6803

Step 4: Therefore, the least common multiple of 20404 and 20409 is 416425236.