Least Common Multiple of 20409 and 20415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20409 and 20415 the smallest integer that is 138883245 that is divisible by both numbers.

Least Common Multiple (LCM) of 20409 and 20415 is 138883245.

LCM(20409,20415) = 138883245

LCM of 20409 and 20415

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

LCM of:
and

Least Common Multiple of 20409 and 20415

LCM of 20409 and 20415 is 138883245

Least common multiple can be found by multiplying the highest exponent prime factors of 20409 and 20415. First we will calculate the prime factors of 20409 and 20415.

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

Prime Factorization of 20415


3 20415
5 6805
1361 1361
1

Prime factors of 20415 are 3, 5,1361. Prime factorization of 20415 in exponential form is:

20415 = 31×51×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 20409 and 20415.

LCM(20409,20415) = 31×51×13611×68031
LCM(20409,20415) = 138883245

Factors of 20409

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

1, 3, 6803, 20409

Factors of 20415

List of positive integer factors of 20415 that divides 20415 without a remainder.

1, 3, 5, 15, 1361, 4083, 6805, 20415

Least Common Multiple of 20409 and 20415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20409 and 20415, than apply into the LCM equation.

GCF(20409,20415) = 3
LCM(20409,20415) = ( 20409 × 20415) / 3
LCM(20409,20415) = 416649735 / 3
LCM(20409,20415) = 138883245

Properties of LCM 20409 and 20415

(i) The LCM of 20415 and 20409 is associative

LCM of 20409 and 20415 = LCM of 20415 and 20409

Related Least Common Multiples of 20409

Related Least Common Multiples of 20415

Frequently Asked Questions on LCM of 20409 and 20415

1. What is the LCM of 20409 and 20415?

Answer: LCM of 20409 and 20415 is 138883245.

2. 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.

3. What are the Factors of 20415?

Answer: Factors of 20415 are 1, 3, 5, 15, 1361, 4083, 6805, 20415. There are 8 integers that are factors of 20415. The greatest factor of 20415 is 20415.

4. How to Find the LCM of 20409 and 20415?

Answer:

Least Common Multiple of 20409 and 20415 = 138883245

Step 1: Find the prime factorization of 20409

20409 = 3 x 6803

Step 2: Find the prime factorization of 20415

20415 = 3 x 5 x 1361

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

LCM = 138883245 = 3 x 5 x 1361 x 6803

Step 4: Therefore, the least common multiple of 20409 and 20415 is 138883245.