Least Common Multiple of 20413 and 20420

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 20420 the smallest integer that is 416833460 that is divisible by both numbers.

Least Common Multiple (LCM) of 20413 and 20420 is 416833460.

LCM(20413,20420) = 416833460

LCM of 20413 and 20420

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

LCM of:
and

Least Common Multiple of 20413 and 20420

LCM of 20413 and 20420 is 416833460

Least common multiple can be found by multiplying the highest exponent prime factors of 20413 and 20420. First we will calculate the prime factors of 20413 and 20420.

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 20420


2 20420
2 10210
5 5105
1021 1021
1

Prime factors of 20420 are 2, 5,1021. Prime factorization of 20420 in exponential form is:

20420 = 22×51×10211

Now multiplying the highest exponent prime factors to calculate the LCM of 20413 and 20420.

LCM(20413,20420) = 22×51×1371×1491×10211
LCM(20413,20420) = 416833460

Factors of 20413

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

1, 137, 149, 20413

Factors of 20420

List of positive integer factors of 20420 that divides 20420 without a remainder.

1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420

Least Common Multiple of 20413 and 20420 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 20420, than apply into the LCM equation.

GCF(20413,20420) = 1
LCM(20413,20420) = ( 20413 × 20420) / 1
LCM(20413,20420) = 416833460 / 1
LCM(20413,20420) = 416833460

Properties of LCM 20413 and 20420

(i) The LCM of 20420 and 20413 is associative

LCM of 20413 and 20420 = LCM of 20420 and 20413

Related Least Common Multiples of 20413

Related Least Common Multiples of 20420

Frequently Asked Questions on LCM of 20413 and 20420

1. What is the LCM of 20413 and 20420?

Answer: LCM of 20413 and 20420 is 416833460.

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 20420?

Answer: Factors of 20420 are 1, 2, 4, 5, 10, 20, 1021, 2042, 4084, 5105, 10210, 20420. There are 12 integers that are factors of 20420. The greatest factor of 20420 is 20420.

4. How to Find the LCM of 20413 and 20420?

Answer:

Least Common Multiple of 20413 and 20420 = 416833460

Step 1: Find the prime factorization of 20413

20413 = 137 x 149

Step 2: Find the prime factorization of 20420

20420 = 2 x 2 x 5 x 1021

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

LCM = 416833460 = 2 x 2 x 5 x 137 x 149 x 1021

Step 4: Therefore, the least common multiple of 20413 and 20420 is 416833460.