Least Common Multiple of 20415 and 20421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 20415 and 20421 the smallest integer that is 138964905 that is divisible by both numbers.

Least Common Multiple (LCM) of 20415 and 20421 is 138964905.

LCM(20415,20421) = 138964905

LCM of 20415 and 20421

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

LCM of:
and

Least Common Multiple of 20415 and 20421

LCM of 20415 and 20421 is 138964905

Least common multiple can be found by multiplying the highest exponent prime factors of 20415 and 20421. First we will calculate the prime factors of 20415 and 20421.

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

Prime Factorization of 20421


3 20421
3 6807
2269 2269
1

Prime factors of 20421 are 3,2269. Prime factorization of 20421 in exponential form is:

20421 = 32×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 20415 and 20421.

LCM(20415,20421) = 32×51×13611×22691
LCM(20415,20421) = 138964905

Factors of 20415

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

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

Factors of 20421

List of positive integer factors of 20421 that divides 20421 without a remainder.

1, 3, 9, 2269, 6807, 20421

Least Common Multiple of 20415 and 20421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20415 and 20421, than apply into the LCM equation.

GCF(20415,20421) = 3
LCM(20415,20421) = ( 20415 × 20421) / 3
LCM(20415,20421) = 416894715 / 3
LCM(20415,20421) = 138964905

Properties of LCM 20415 and 20421

(i) The LCM of 20421 and 20415 is associative

LCM of 20415 and 20421 = LCM of 20421 and 20415

Related Least Common Multiples of 20415

Related Least Common Multiples of 20421

Frequently Asked Questions on LCM of 20415 and 20421

1. What is the LCM of 20415 and 20421?

Answer: LCM of 20415 and 20421 is 138964905.

2. 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.

3. What are the Factors of 20421?

Answer: Factors of 20421 are 1, 3, 9, 2269, 6807, 20421. There are 6 integers that are factors of 20421. The greatest factor of 20421 is 20421.

4. How to Find the LCM of 20415 and 20421?

Answer:

Least Common Multiple of 20415 and 20421 = 138964905

Step 1: Find the prime factorization of 20415

20415 = 3 x 5 x 1361

Step 2: Find the prime factorization of 20421

20421 = 3 x 3 x 2269

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

LCM = 138964905 = 3 x 3 x 5 x 1361 x 2269

Step 4: Therefore, the least common multiple of 20415 and 20421 is 138964905.