Least Common Multiple of 20413 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 20413 and 20421 the smallest integer that is 416853873 that is divisible by both numbers.

Least Common Multiple (LCM) of 20413 and 20421 is 416853873.

LCM(20413,20421) = 416853873

LCM of 20413 and 20421

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

LCM of:
and

Least Common Multiple of 20413 and 20421

LCM of 20413 and 20421 is 416853873

Least common multiple can be found by multiplying the highest exponent prime factors of 20413 and 20421. First we will calculate the prime factors of 20413 and 20421.

Prime Factorization of 20413


137 20413
149 149
1

Prime factors of 20413 are 137,149. Prime factorization of 20413 in exponential form is:

20413 = 1371×1491

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 20413 and 20421.

LCM(20413,20421) = 32×1371×1491×22691
LCM(20413,20421) = 416853873

Factors of 20413

List of positive integer factors of 20413 that divides 20413 without a remainder.

1, 137, 149, 20413

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 20413 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 20413 and 20421, than apply into the LCM equation.

GCF(20413,20421) = 1
LCM(20413,20421) = ( 20413 × 20421) / 1
LCM(20413,20421) = 416853873 / 1
LCM(20413,20421) = 416853873

Properties of LCM 20413 and 20421

(i) The LCM of 20421 and 20413 is associative

LCM of 20413 and 20421 = LCM of 20421 and 20413

Related Least Common Multiples of 20413

Related Least Common Multiples of 20421

Frequently Asked Questions on LCM of 20413 and 20421

1. What is the LCM of 20413 and 20421?

Answer: LCM of 20413 and 20421 is 416853873.

2. What are the Factors of 20413?

Answer: Factors of 20413 are 1, 137, 149, 20413. There are 4 integers that are factors of 20413. The greatest factor of 20413 is 20413.

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 20413 and 20421?

Answer:

Least Common Multiple of 20413 and 20421 = 416853873

Step 1: Find the prime factorization of 20413

20413 = 137 x 149

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 = 416853873 = 3 x 3 x 137 x 149 x 2269

Step 4: Therefore, the least common multiple of 20413 and 20421 is 416853873.