Least Common Multiple of 8413 and 8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8413 and 8420 the smallest integer that is 70837460 that is divisible by both numbers.

Least Common Multiple (LCM) of 8413 and 8420 is 70837460.

LCM(8413,8420) = 70837460

LCM of 8413 and 8420

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

LCM of:
and

Least Common Multiple of 8413 and 8420

LCM of 8413 and 8420 is 70837460

Least common multiple can be found by multiplying the highest exponent prime factors of 8413 and 8420. First we will calculate the prime factors of 8413 and 8420.

Prime Factorization of 8413


47 8413
179 179
1

Prime factors of 8413 are 47,179. Prime factorization of 8413 in exponential form is:

8413 = 471×1791

Prime Factorization of 8420


2 8420
2 4210
5 2105
421 421
1

Prime factors of 8420 are 2, 5,421. Prime factorization of 8420 in exponential form is:

8420 = 22×51×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 8413 and 8420.

LCM(8413,8420) = 22×51×471×1791×4211
LCM(8413,8420) = 70837460

Factors of 8413

List of positive integer factors of 8413 that divides 8413 without a remainder.

1, 47, 179, 8413

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420

Least Common Multiple of 8413 and 8420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8413 and 8420, than apply into the LCM equation.

GCF(8413,8420) = 1
LCM(8413,8420) = ( 8413 × 8420) / 1
LCM(8413,8420) = 70837460 / 1
LCM(8413,8420) = 70837460

Properties of LCM 8413 and 8420

(i) The LCM of 8420 and 8413 is associative

LCM of 8413 and 8420 = LCM of 8420 and 8413

Related Least Common Multiples of 8413

Related Least Common Multiples of 8420

Frequently Asked Questions on LCM of 8413 and 8420

1. What is the LCM of 8413 and 8420?

Answer: LCM of 8413 and 8420 is 70837460.

2. What are the Factors of 8413?

Answer: Factors of 8413 are 1, 47, 179, 8413. There are 4 integers that are factors of 8413. The greatest factor of 8413 is 8413.

3. What are the Factors of 8420?

Answer: Factors of 8420 are 1, 2, 4, 5, 10, 20, 421, 842, 1684, 2105, 4210, 8420. There are 12 integers that are factors of 8420. The greatest factor of 8420 is 8420.

4. How to Find the LCM of 8413 and 8420?

Answer:

Least Common Multiple of 8413 and 8420 = 70837460

Step 1: Find the prime factorization of 8413

8413 = 47 x 179

Step 2: Find the prime factorization of 8420

8420 = 2 x 2 x 5 x 421

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

LCM = 70837460 = 2 x 2 x 5 x 47 x 179 x 421

Step 4: Therefore, the least common multiple of 8413 and 8420 is 70837460.